 5.5.6.1: (2x3)(3x4)is the product of two _____ and (2a 4)(3a 5) is the produ...
 5.5.2.1: In the expression 51, the exponent is ______ a integer.
 5.5.1.1: Expressions such as x4, 103, and (5t)2 are called ______ expressions.
 5.5.5.1: ( b3 b2 9b 1) (b3 b2 9b 1) is the sum of two ______.
 5.1: Identify the base and the exponent in each expression. a. n12 b. (2...
 5.5.4.1: A _____ is a term or a sum of terms in which all variables have who...
 5.5.8.1: The expression 18x79x4 is a monomial divided by a ______.
 5.5.3.1: 4.84 105 is written in ______ notation. 484,000 is written in _____...
 5.5.7.1: Expressions of the form (x y)2, and occur so frequently in algebra ...
 5.5.6.2: We read (x 7)(2x 3) x as the ____ of the quantity of x 7 _____ the ...
 5.5.2.2: xn is the ______ of xn.
 5.5.1.2: Match each expression below with the proper description on the next...
 5.5.5.2: (b2 9b 11) (4b2 19b) is the ______ of a trinomial and a binomial.
 5.2: Write each expression in an equivalent form using an exponent. a. m...
 5.5.4.2: The ______ of a polynomial are separated by + symbols.
 5.5.8.2: The expression 6x3y 4x2y2 8xy3 2y42x41 is a ______ divided by a mon...
 5.5.3.2: 103, 1050 and 104 are ______ of 10.
 5.5.7.2: (2x 3) is the_____of a binomial and (a 6)(a 6 ) is the product of t...
 5.5.6.3: In the acronym FOIL, F stands for _____ terms, O for _____ terms, I...
 5.5.2.3: We read a0cas a to the _____ power.
 5.5.1.3: Fill in the blanks. a. (3x)4 b. (5y)(5y)(5y)
 5.5.5.3: _______ terms have the same variables with the same exponents.
 5.3: Simplify each expression. Assume there are no divisions by 0. 74 78
 5.5.4.3: x3 6x2 9x 2 is a polynomial in _____ variable, and is written in __...
 5.5.8.3: The expression x2 8x 12x 66 is a trinomial divided by a ______ .
 5.5.3.3: When we multiply a decimal by 105, the decimal point moves 5 places...
 5.5.7.3: Fill in the blanks to describe each special product. a. x y)2 x2 2x...
 5.5.6.4: (2a 4)(3a2 5a 1) is the product of a _____ and a ____.
 5.5.2.4: We read 34 as 3 to the power _____ _____ .
 5.5.1.4: Fill in the blanks. a. x x b. xmxn c. (xy) n d. (ab)c e. xmxn f. aabbn
 5.5.5.4: The polynomial 2t4 3t3 4t2 5t 6 is written in powers of .t
 5.4: Simplify each expression. Assume there are no divisions by 0. mmnn
 5.5.4.4: For the polynomial 6x2 3x 1d, the _____ term is 6x2 , and the leadi...
 5.5.8.4: 16 (2x 12) 2x 4 (x 2 6x) x 6x 2 8x 4 x 2 x 2
 5.5.3.4: Describe the procedure for converting a number from scientific nota...
 5.5.7.4: Consider the binomial 5x 4. a. What is the square of its first term...
 5.5.6.5: a. To multiply two polynomials, multiply _____ term of one polynomi...
 5.5.2.5: Complete the table.Expression Base Exponent 10a0 (2)3 71 1 3 y 2 8 ...
 5.5.1.5: To simplify each expression, determine whether you add, subtract, m...
 5.5.5.5: To add polynomials, ______ their like terms.
 5.5: Simplify each expression. Assume there are no divisions by 0. ( y7)3
 5.5.4.5: A _____ is a polynomial with exactly one term. A _____ is a polynom...
 5.5.8.5: The long division method is a series of four steps that are repeate...
 5.5.3.5: a. When a real number greater than or equal to 10 is written in sci...
 5.5.7.5: Complete each solution to find the product. (x 4)2 2 2(x)( ) 2 x2 16
 5.5.6.6: Label each arrow using one of the letters F, O, I, or L. Then fill ...
 5.5.2.6: Complete each rule for exponents. a. x m xn b. x0 x m c. (x m)nx d....
 5.5.1.6: a. To simplify (2y3z2)4, what factors within the parentheses must b...
 5.5.5.6: To subtract polynomials, _____ the signs of the terms of the polyno...
 5.6: Simplify each expression. Assume there are no divisions by 0. (3x)4
 5.5.4.6: The _____ of the term 3x7 is 7 because x appears as a factor 7 time...
 5.5.8.6: In the following long divisions, find the answer to the subtraction...
 5.5.3.6: The arrows show the movement of a decimal point. By what power of 1...
 5.5.7.6: Complete each solution to find the product. (6r 1)2 ( )2 2(6r)(1) (...
 5.5.6.7: Simplify each polynomial by combining like terms. a. 6x2 8x 9x 12 b...
 5.5.2.7: Complete each table. 210213x x
 5.5.1.7: Simplify each expression, if possible. a. x2 x2 b. x2 x2 x c. x x 2...
 5.5.5.7: Simplify each polynomial, if possible. a. 2x2 3x2 b. 15m3 m3 2 c. 8...
 5.7: Simplify each expression. Assume there are no divisions by 0. b 512b3
 5.5.4.7: To _____ the polynomial x 2 2x 1 for x 6, we substitute 6 for and f...
 5.5.8.7: Fill in the blanks: To check an answer of a long division, we use t...
 5.5.3.7: Fill in the blanks to write each number in scientific notation. a. ...
 5.5.7.7: Complete each solution to find the product. (s 5)(s 5) 2 2
 5.5.6.8: (3a)(2a2) can be classified as a monomial monomial. Classify the fo...
 5.5.2.8: Complete each table. 21021(9)x x
 5.5.1.8: Simplify each expression, if possible. a. x3 x2 b. x3x2 c. 42 24 d....
 5.5.5.8: What is the result of the addition in the xcolumn? 4x2 x 12x 5x2 8...
 5.8: Simplify each expression. Assume there are no divisions by 0. b3b4b...
 5.5.4.8: The graph ofy x2 is a cupshaped curve called a ______.
 5.5.8.8: Check to see whether the following result of a long division is cor...
 5.5.3.8: Fill in the blanks to write each number in scientific notation. a. ...
 5.5.7.8: True or false: (t 7)(t 7) (t 7)(t 7)?
 5.5.6.9: Complete each solution. (9n3) (8n2) (9 n2
 5.5.2.9: Fill in the blanks. a. b. c. A factor can be moved from the denomin...
 5.5.1.9: Complete each solution to simplify each expression. (x x 4x2)3 (
 5.5.5.9: Write without parentheses. a. (5x 7) 2 8x 23)5x b. (5y4 3y2 (5x 7) 2 8
 5.9: Simplify each expression. Assume there are no divisions by 0. (16s3...
 5.5.4.9: Determine whether each expression is a polynomial. a. b.c. d.e. f. ...
 5.5.8.9: Complete each solution. 28x5 x3 5x27x2 28x5 7x2 5x2x4x x325x728x x7
 5.5.3.9: Write each expression so that the decimal numbers are grouped toget...
 5.5.7.9: Find each product. See Example 1. (x 1)2
 5.5.6.10: Complete each solution. 7x (3x2 2x 5) (3x2) (2x) (5) 6x2 10 6x2 10
 5.5.2.10: Determine whether each statement is true or false. a. 62 36 b. 62 1...
 5.5.1.10: Complete each solution to simplify each expression. a3a4a2 a2 a)
 5.5.5.10: What is the result of the subtraction in the column? 4x2 (4x 6x 9 ...
 5.10: Simplify each expression. Assume there are no divisions by 0. (2.1x...
 5.5.4.10: Fill in the blank so that the term has degree 5. a. 9x b. 23 xy
 5.5.8.10: Complete each solution. (2x 4) 5(x2 )x 2x2 4x 5 2
 5.5.3.10: Simplify each expression. a. 1024 1033 b. 10501036 c. 1015 10271040
 5.5.7.10: Find each product. See Example 1. (y 7)2
 5.5.6.11: Complete each solution. 6x2 10 6x2 10 (2x 5)(
 5.5.2.11: Complete each solution to simplify each expression. y5y3)5 1 25 y 1y6
 5.5.1.11: Fill in the blanks. a. We read as nine to the fourth _____ .b. We r...
 5.5.5.11: Fill in the blanks to add (subtract) the polynomials. 6x2 2x 3) (4x...
 5.11: Simplify each expression. Assume there are no divisions by 0. [(9)3]5
 5.5.4.11: Make a termcoefficientdegree table like that shown in Example 1 f...
 5.5.8.11: Write the polynomial 2x2 1 5x4in descending powers of and insert pl...
 5.5.3.11: Fill in the blanks. A positive number is written in scientific nota...
 5.5.7.11: Find each product. See Example 1. (m 6)2
 5.5.6.12: Complete each solution. 17x2 66x3 8x2 4x 12x 62x 33x2 4x
 5.5.2.12: Complete each solution to simplify each expression. a a2ba3b3 b3 1a...
 5.5.1.12: Fill in the blanks. a. We read as n _____ times n ____ times n.b. W...
 5.5.5.12: Fill in the blanks to add (subtract) the polynomials. (6x2 2x 3) (4...
 5.12: Simplify each expression. Assume there are no divisions by 0. (a5)3...
 5.5.4.12: Make a termcoefficientdegree table like that shown in Example 1 f...
 5.5.8.12: True or false: 6x 4 3x 2 6x 4 3x 2x
 5.5.3.12: Express each power of 10 in fraction form and decimal form. a. 103 ...
 5.5.7.12: Find each product. See Example 1. (b 1)2 (
 5.5.6.13: Multiply. See Example 1. 5m m
 5.5.2.13: Simplify each expression. See Example 1. 70
 5.5.1.13: Identify the base and the exponent in each expression. See Example ...
 5.5.5.13: Simplify each polynomial and write it in descending powers of one v...
 5.13: Simplify each expression. Assume there are no divisions by 0. a12x2...
 5.5.4.13: Make a termcoefficientdegree table like that shown in Example 1 f...
 5.5.8.13: Divide the monomials. See Example 1. x5x2
 5.5.3.13: Convert each number to standard notation. See Example 1. 2.3 102
 5.5.7.13: Find each product. See Example 1. (4x 5)2
 5.5.6.14: Multiply. See Example 1. 4s s
 5.5.2.14: Simplify each expression. See Example 1. 90
 5.5.1.14: Identify the base and the exponent in each expression. See Example ...
 5.5.5.14: Simplify each polynomial and write it in descending powers of one v...
 5.14: Simplify each expression. Assume there are no divisions by 0. a x73...
 5.5.4.14: Make a termcoefficientdegree table like that shown in Example 1 f...
 5.5.8.14: Divide the monomials. See Example 1. a12a8
 5.5.3.14: Convert each number to standard notation. See Example 1. 3.75 104
 5.5.7.14: Find each product. See Example 1. (6y 3)2
 5.5.6.15: Multiply. See Example 1. (3x ) 2)(4x3)
 5.5.2.15: Simplify each expression. See Example 1. a14b0
 5.5.1.15: Identify the base and the exponent in each expression. See Example ...
 5.5.5.15: Simplify each polynomial and write it in descending powers of one v...
 5.15: Simplify each expression. Assume there are no divisions by 0. (m 25...
 5.5.4.15: a. Write x 9 3x2 5x3 in descending powers of x. b. Write 2xy y2 x2 ...
 5.5.8.15: Divide the monomials. See Example 1. 12h89h6
 5.5.3.15: Convert each number to standard notation. See Example 1. 8.12 105
 5.5.7.15: Find each product. See Example 1. (7m 2)2
 5.5.6.16: Multiply. See Example 1. (2a3)(11a2 (3x ) 2
 5.5.2.16: Simplify each expression. See Example 1. a38b0
 5.5.1.16: Identify the base and the exponent in each expression. See Example ...
 5.5.5.16: Simplify each polynomial and write it in descending powers of one v...
 5.16: Simplify each expression. Assume there are no divisions by 0. 5y2z3...
 5.5.4.16: Complete the solution. Evaluate 2x2 3x 1 for x 2. 2x2 3x 1 22 3 1 2...
 5.5.8.16: Divide the monomials. See Example 1. 22b96b6
 5.5.3.16: Convert each number to standard notation. See Example 1. 1.2 103
 5.5.7.16: Find each product. See Example 1. (9b 2)2 (
 5.5.6.17: Multiply. See Example 1. (1.2c ) 3)(5c3)
 5.5.2.17: Simplify each expression. See Example 1. 2x0
 5.5.1.17: Identify the base and the exponent in each expression. See Example ...
 5.5.5.17: Simplify each polynomial and write it in descending powers of one v...
 5.17: Simplify each expression. Assume there are no divisions by 0. a5a4a...
 5.5.4.17: Classify each polynomial as a monomial, a binomial, a trinomial, or...
 5.5.8.17: Divide the monomials. See Example 1. 3d415d8
 5.5.3.17: Convert each number to standard notation. See Example 1. 1.15 103
 5.5.7.17: Find each product. See Example 1. (1 3y)2
 5.5.6.18: Multiply. See Example 1. (2.5h4)(2h4 (1.2c ) 3
 5.5.2.18: Simplify each expression. See Example 1. 8t0
 5.5.1.18: Identify the base and the exponent in each expression. See Example ...
 5.5.5.18: Simplify each polynomial and write it in descending powers of one v...
 5.18: Simplify each expression. Assume there are no divisions by 0. (cd)9...
 5.5.4.18: Classify each polynomial as a monomial, a binomial, a trinomial, or...
 5.5.8.18: Divide the monomials. See Example 1. 4x316x5
 5.5.3.18: Convert each number to standard notation. See Example 1. 4.9 102
 5.5.7.18: Find each product. See Example 1. (1 4a)2
 5.5.6.19: Multiply. See Example 1. (3b ) 2)(2b)(4b3)
 5.5.2.19: Simplify each expression. See Example 1. 52x0
 5.5.1.19: Write each expression in an equivalent form using an exponent. See ...
 5.5.5.19: Simplify each polynomial and write it in descending powers of one v...
 5.19: Find an expression that represents the area or the volume of each f...
 5.5.4.19: Classify each polynomial as a monomial, a binomial, a trinomial, or...
 5.5.8.19: Divide the monomials. See Example 1. 10s2s3
 5.5.3.19: Convert each number to standard notation. See Example 1. 9.76 104
 5.5.7.19: Find each product. See Example 1. y 0.9)2
 5.5.6.20: Multiply. See Example 1. (3y)(7y2)(y4 (3b ) 2
 5.5.2.20: Simplify each expression. See Example 1. 43a0
 5.5.1.20: Write each expression in an equivalent form using an exponent. See ...
 5.5.5.20: Simplify each polynomial and write it in descending powers of one v...
 5.20: Find an expression that represents the area or the volume of each f...
 5.5.4.20: Classify each polynomial as a monomial, a binomial, a trinomial, or...
 5.5.8.20: Divide the monomials. See Example 1. 16y3y4
 5.5.3.20: Convert each number to standard notation. See Example 1. 7.63 105
 5.5.7.20: Find each product. See Example 1. (d 0.2)2
 5.5.6.21: Multiply. See Example 1. 2x ) 2y3)(4x3y2
 5.5.2.21: Express using positive exponents and simplify, if possible. See Exa...
 5.5.1.21: Write each expression in an equivalent form using an exponent. See ...
 5.5.5.21: Simplify each polynomial and write it in descending powers of one v...
 5.21: Simplify each expression. Do not use negative exponents in the answ...
 5.5.4.21: Classify each polynomial as a monomial, a binomial, a trinomial, or...
 5.5.8.21: Divide the monomials. See Example 1. 8x3y240xy6
 5.5.3.21: Convert each number to standard notation. See Example 1. 6.001 106
 5.5.7.21: Find each product. See Example 1. (a2 b2)2
 5.5.7.22: Find each product. See Example 1. (c2 d2)2
 5.5.6.22: Multiply. See Example 1. (5x3y6)(2x2y2 (2x ) 2
 5.5.2.22: Express using positive exponents and simplify, if possible. See Exa...
 5.5.1.22: Write each expression in an equivalent form using an exponent. See ...
 5.5.5.22: Simplify each polynomial and write it in descending powers of one v...
 5.22: Simplify each expression. Do not use negative exponents in the answ...
 5.5.4.22: Classify each polynomial as a monomial, a binomial, a trinomial, or...
 5.5.8.22: Divide the monomials. See Example 1. 3y3z18yz6
 5.5.3.22: Convert each number to standard notation. See Example 1. 9.998 105
 5.5.7.23: Find each product. See Example 1. as 34b2
 5.5.6.23: Multiply. See Example 1. 8a ) 5)a14a6b
 5.5.2.23: Express using positive exponents and simplify, if possible. See Exa...
 5.5.1.23: Write each expression in an equivalent form using an exponent. See ...
 5.5.5.23: Simplify each polynomial and write it in descending powers of one v...
 5.23: Simplify each expression. Do not use negative exponents in the answ...
 5.5.4.23: Classify each polynomial as a monomial, a binomial, a trinomial, or...
 5.5.8.23: Divide the monomials. See Example 1. 16r3y24r2y7
 5.5.3.23: Convert each number to standard notation. See Example 1. 2.718 100
 5.5.7.24: Find each product. See Example 1. ay 53b2a
 5.5.6.24: Multiply. See Example 1. a23x6b(9x3 (8a ) 5
 5.5.2.24: Express using positive exponents and simplify, if possible. See Exa...
 5.5.1.24: Write each expression in an equivalent form using an exponent. See ...
 5.5.5.24: Simplify each polynomial and write it in descending powers of one v...
 5.24: Simplify each expression. Do not use negative exponents in the answ...
 5.5.4.24: Classify each polynomial as a monomial, a binomial, a trinomial, or...
 5.5.8.24: Divide the monomials. See Example 1. 35xz67x8z21
 5.5.3.24: Convert each number to standard notation. See Example 1. 3.14 100
 5.5.7.25: Find each product. See Example 2. (x 3)(x 3) (
 5.5.6.25: Multiply. See Example 2. 3x(x 4) 3
 5.5.2.25: Express using positive exponents and simplify, if possible. See Exa...
 5.5.1.25: Write each expression in an equivalent form using an exponent. See ...
 5.5.5.25: Simplify each polynomial and write it in descending powers of one v...
 5.25: Simplify each expression. Do not use negative exponents in the answ...
 5.5.4.25: Classify each polynomial as a monomial, a binomial, a trinomial, or...
 5.5.8.25: Divide the polynomial by the monomial. See Example 2. 6x 33
 5.5.3.25: Convert each number to standard notation. See Example 1. 6.789 102
 5.5.7.26: Find each product. See Example 2. (y 6)(y 6)
 5.5.6.26: Multiply. See Example 2. 3a(a 2)
 5.5.2.26: Express using positive exponents and simplify, if possible. See Exa...
 5.5.1.26: Write each expression in an equivalent form using an exponent. See ...
 5.5.5.26: Simplify each polynomial and write it in descending powers of one v...
 5.26: Simplify each expression. Do not use negative exponents in the answ...
 5.5.4.26: Classify each polynomial as a monomial, a binomial, a trinomial, or...
 5.5.8.26: Divide the polynomial by the monomial. See Example 2. 8x 44
 5.5.3.26: Convert each number to standard notation. See Example 1. 4.321 101
 5.5.7.27: Find each product. See Example 2. (2p 7)(2p 7) (
 5.5.6.27: Multiply. See Example 2. 4t(t 3) 2 7)3x
 5.5.2.27: Express using positive exponents and simplify, if possible. See Exa...
 5.5.1.27: Use the product rule for exponents to simplify each expression. Wri...
 5.5.5.27: Simplify each polynomial and write it in descending powers of one v...
 5.27: Simplify each expression. Do not use negative exponents in the answ...
 5.5.4.27: Classify each polynomial as a monomial, a binomial, a trinomial, or...
 5.5.8.27: Divide the polynomial by the monomial. See Example 2. a a3 a4a4
 5.5.3.27: Convert each number to standard notation. See Example 1. 2.0 105
 5.5.7.28: Find each product. See Example 2. (5t 4)(5t 4)
 5.5.6.28: Multiply. See Example 2. 6s(s2 4t(t 3) 2
 5.5.2.28: Express using positive exponents and simplify, if possible. See Exa...
 5.5.1.28: Use the product rule for exponents to simplify each expression. Wri...
 5.5.5.28: Simplify each polynomial and write it in descending powers of one v...
 5.28: Simplify each expression. Do not use negative exponents in the answ...
 5.5.4.28: Classify each polynomial as a monomial, a binomial, a trinomial, or...
 5.5.8.28: Divide the polynomial by the monomial. See Example 2. b2 b3 b4b4
 5.5.3.28: Convert each number to standard notation. See Example 1. 7.0 106
 5.5.3.29: Write each number in scientific notation. See Example 2. 23,000
 5.5.7.29: Find each product. See Example 2. (3n 1)(3n 1) (
 5.5.6.29: Multiply. See Example 2. 2x 2b 2) 3(3x2 x 1)6s(s
 5.5.2.29: Express using positive exponents and simplify, if possible. See Exa...
 5.5.1.29: Use the product rule for exponents to simplify each expression. Wri...
 5.5.5.29: Add the polynomials. See Example 2. (3q2 5q 7) (2q2 q 12)
 5.29: Simplify each expression. Do not use negative exponents in the answ...
 5.5.4.29: Classify each polynomial as a monomial, a binomial, a trinomial, or...
 5.5.8.29: Divide the polynomial by the monomial. See Example 2. 6h12 48h924h10
 5.5.3.30: Write each number in scientific notation. See Example 2. 4,750
 5.5.7.30: Find each product. See Example 2. 5a 4)(5a 4)
 5.5.6.30: Multiply. See Example 2. 4b3(2b2 2x 2b 2) 3(
 5.5.2.30: Express using positive exponents and simplify, if possible. See Exa...
 5.5.1.30: Use the product rule for exponents to simplify each expression. Wri...
 5.5.5.30: Add the polynomials. See Example 2. 2t2 11t 15) (5t2 13t 10)(3q2
 5.30: Simplify each expression. Do not use negative exponents in the answ...
 5.5.4.30: Classify each polynomial as a monomial, a binomial, a trinomial, or...
 5.5.8.30: Divide the polynomial by the monomial. See Example 2. 4x14 36x836x12
 5.5.3.31: Write each number in scientific notation. See Example 2. 1,700,000
 5.5.7.31: Find each product. See Example 2. ac b 34b ac 34b
 5.5.6.31: Multiply. See Example 2. 58t2(t6 8t2)4
 5.5.2.31: Express using positive exponents and simplify, if possible. See Exa...
 5.5.1.31: Use the product rule for exponents to simplify each expression. Wri...
 5.5.5.31: Add the polynomials. See Example 2. a23y334y212b a13y315y2 16b(2t
 5.31: Simplify each expression. Do not use negative exponents in the answ...
 5.5.4.31: Classify each polynomial as a monomial, a binomial, a trinomial, or...
 5.5.8.31: Divide the polynomial by the monomial. See Example 2. 9s8 18s5 12s43s
 5.5.3.32: Write each number in scientific notation. See Example 2. 290,000
 5.5.7.32: Find each product. See Example 2. am 45b am 45 ac b 3
 5.5.6.32: Multiply. See Example 2. 49a2(9a3 a2) 5
 5.5.2.32: Express using positive exponents and simplify, if possible. See Exa...
 5.5.1.32: Use the product rule for exponents to simplify each expression. Wri...
 5.5.5.32: Add the polynomials. See Example 2. a 116 r612r3 1112b a 916 r694r3...
 5.32: Simplify each expression. Do not use negative exponents in the answ...
 5.5.4.32: Classify each polynomial as a monomial, a binomial, a trinomial, or...
 5.5.8.32: Divide the polynomial by the monomial. See Example 2. 16b10 4b6 20b...
 5.5.3.33: Write each number in scientific notation. See Example 2. 0.062
 5.5.7.33: Find each product. See Example 2. (0.4 9m ) 2)(0.4 9m2)a
 5.5.6.33: Multiply. See Example 2. 4x2z(3x2 z2 xz 1)49
 5.5.2.33: Simplify. Do not use negative exponents in the answer. See Example ...
 5.5.1.33: Use the product rule for exponents to simplify each expression. Wri...
 5.5.5.33: Add the polynomials. See Example 2. (0.3p 2.1q) (0.4p 3q)
 5.33: Simplify each expression. Do not use negative exponents in the answ...
 5.5.4.33: Find the degree of each polynomial. See Example 1. 3x4
 5.5.8.33: Divide the polynomial by the monomial. See Example 2. 7c5 21c4 14c3...
 5.5.3.34: Write each number in scientific notation. See Example 2. 0.00073
 5.5.7.34: Find each product. See Example 2. (0.3 2c2)(0.3 2c2 (0
 5.5.6.34: Multiply. See Example 2. 3x2y(x2 y2 xy 1)4x
 5.5.2.34: Simplify. Do not use negative exponents in the answer. See Example ...
 5.5.1.34: Use the product rule for exponents to simplify each expression. Wri...
 5.5.5.34: Add the polynomials. See Example 2. (0.3r 5.2s) (0.8r 5.2s)
 5.34: Simplify each expression. Do not use negative exponents in the answ...
 5.5.4.34: Find the degree of each polynomial. See Example 1. 3x5
 5.5.8.34: Divide the polynomial by the monomial. See Example 2. 12r15 48r12 r...
 5.5.3.35: Write each number in scientific notation. See Example 2. 0.0000051
 5.5.7.35: Find each product. See Example 2. (5 6g)(5 6g) )
 5.5.6.35: Multiply. See Example 2. (x ) 2 12x)(6x12)
 5.5.2.35: Simplify. Do not use negative exponents in the answer. See Example ...
 5.5.1.35: Find an expression that represents the area or volume of each figur...
 5.5.5.35: Add the polynomials. See Example 2. (2x2 xy 3y2) (5x2 y2)(0.
 5.35: Simplify each expression. Do not use negative exponents in the answ...
 5.5.4.35: Find the degree of each polynomial. See Example 1. 2x 3x 2 1
 5.5.8.35: Divide the polynomial by the monomial. See Example 2. 25x2y3 30xy2 ...
 5.5.3.36: Write each number in scientific notation. See Example 2. 0.04
 5.5.7.36: Find each product. See Example 2. (6 c2)(6 c
 5.5.6.36: Multiply. See Example 2. (w9 11w)(2w7 (x ) 2
 5.5.2.36: Simplify. Do not use negative exponents in the answer. See Example ...
 5.5.1.36: Find an expression that represents the area or volume of each figur...
 5.5.5.36: Add the polynomials. See Example 2. (4a2 ab 15b2) (5a2 b2)(2x2
 5.36: Simplify each expression. Do not use negative exponents in the answ...
 5.5.4.36: Find the degree of each polynomial. See Example 1. 5x4 3x2 3x 2 3
 5.5.8.36: Divide the polynomial by the monomial. See Example 2. 30a4b4 15a3b ...
 5.5.3.37: Write each number in scientific notation. See Example 2. 5,000,000,000
 5.5.7.37: Expand each binomial. See Example 3. (x 4)3
 5.5.6.37: Find a polynomial that represents the area of the parallelogram or ...
 5.5.2.37: Simplify. Do not use negative exponents in the answer. See Example ...
 5.5.1.37: Find an expression that represents the area or volume of each figur...
 5.5.5.37: Find a polynomial that represents the perimeter of the figure. See ...
 5.37: Write each number in scientific notation. 720,000,000
 5.5.4.37: Find the degree of each polynomial. See Example 1. 1 23x 5
 5.5.8.37: Perform each division. See Examples 3 and 4. Divide x2 8x 12 by x 2.
 5.5.3.38: Write each number in scientific notation. See Example 2. 7,000,000
 5.5.7.38: Expand each binomial. See Example 3. (y 2)3 (
 5.5.6.38: Find a polynomial that represents the area of the parallelogram or ...
 5.5.2.38: Simplify. Do not use negative exponents in the answer. See Example ...
 5.5.1.38: Find an expression that represents the area or volume of each figur...
 5.5.5.38: Find a polynomial that represents the perimeter of the figure. See ...
 5.38: Write each number in scientific notation. 9,370,000,000,000,000
 5.5.4.38: Find the degree of each polynomial. See Example 1. 12y3 4y1 2
 5.5.8.38: Perform each division. See Examples 3 and 4. Divide x2 5x 6 by x 2.
 5.5.3.39: Write each number in scientific notation. See Example 2. 0.0000003
 5.5.7.39: Expand each binomial. See Example 3. (n 6)3
 5.5.6.39: Find a polynomial that represents the area of the parallelogram or ...
 5.5.2.39: Simplify. Do not use negative exponents in the answer. See Example ...
 5.5.1.39: Use the quotient rule for exponents to simplify each expression. Wr...
 5.5.5.39: Find a polynomial that represents the perimeter of the figure. See ...
 5.39: Write each number in scientific notation. 0.00000000942
 5.5.4.39: Find the degree of each polynomial. See Example 1. 5r2s2 r3s 31
 5.5.8.39: Perform each division. See Examples 3 and 4. Divide x2 5x 6 by x 3 2
 5.5.3.40: Write each number in scientific notation. See Example 2. 0.0001
 5.5.7.40: Expand each binomial. See Example 3. (m 5)3 (n
 5.5.6.40: Find a polynomial that represents the area of the parallelogram or ...
 5.5.2.40: Simplify. Do not use negative exponents in the answer. See Example ...
 5.5.1.40: Use the quotient rule for exponents to simplify each expression. Wr...
 5.5.5.40: Find a polynomial that represents the perimeter of the figure. See ...
 5.40: Write each number in scientific notation. 0.00013
 5.5.4.40: Find the degree of each polynomial. See Example 1. 4r2s3 5r2s8 5
 5.5.8.40: Perform each division. See Examples 3 and 4. Divide x2 12x 32 by x 4 .
 5.5.3.41: Write each number in scientific notation. See Example 2. 909,000,000
 5.5.7.41: Expand each binomial. See Example 3. 2g 3)3
 5.5.6.41: Multiply. See Examples 4 and 5. (y 3)(y 5)
 5.5.2.41: Simplify. Do not use negative exponents in the answer. See Example ...
 5.5.1.41: Use the quotient rule for exponents to simplify each expression. Wr...
 5.5.5.41: Use vertical form to add the polynomials. See Example 4. 2x 12 2 3x...
 5.41: Write each number in scientific notation. 0.018 102
 5.5.4.41: Find the degree of each polynomial. See Example 1. x b 12 3x2y34
 5.5.8.41: Perform each division. See Examples 3 and 4. 2x2 5x 22x 3
 5.5.3.42: Write each number in scientific notation. See Example 2. 7,007,000,000
 5.5.7.42: Expand each binomial. See Example 3. (3x 2)3 (
 5.5.6.42: Multiply. See Examples 4 and 5. (a 4)(a 5)
 5.5.2.42: Simplify. Do not use negative exponents in the answer. See Example ...
 5.5.1.42: Use the quotient rule for exponents to simplify each expression. Wr...
 5.5.5.42: Use vertical form to add the polynomials. See Example 4. 7x3 9x2 2x...
 5.42: Write each number in scientific notation. 853 103 0
 5.5.4.42: Find the degree of each polynomial. See Example 1. 17ab5 12a3 x b 1
 5.5.8.42: Perform each division. See Examples 3 and 4. 3x2 8x 33x 22
 5.5.3.43: Write each number in scientific notation. See Example 2. 0.0345
 5.5.7.43: Expand each binomial. See Example 3. (a b)3
 5.5.6.43: Multiply. See Examples 4 and 5. (m 6)(m 9)
 5.5.2.43: Simplify. Do not use negative exponents in the answer. See Example ...
 5.5.1.43: Use the quotient rule for exponents to simplify each expression. Wr...
 5.5.5.43: Use vertical form to add the polynomials. See Example 4. 6a 3c 5 2 ...
 5.43: Write each number in standard notation. 1.26 105
 5.5.4.43: Find the degree of each polynomial. See Example 1. 38 2
 5.5.8.43: Perform each division. See Examples 3 and 4. 6x2 11x 23x 13
 5.5.3.44: Write each number in scientific notation. See Example 2. 0.000000567
 5.5.7.44: Expand each binomial. See Example 3. (c d)3
 5.5.6.44: Multiply. See Examples 4 and 5. (n 8)(n 10)
 5.5.2.44: Simplify. Do not use negative exponents in the answer. See Example ...
 5.5.1.44: Use the quotient rule for exponents to simplify each expression. Wr...
 5.5.5.44: Use vertical form to add the polynomials. See Example 4. 2c2 6a 3c ...
 5.44: Write each number in standard notation. 3.919 108
 5.5.4.44: Find the degree of each polynomial. See Example 1. 24
 5.5.8.44: Perform each division. See Examples 3 and 4. 4x2 6x 12x 1
 5.5.3.45: Write each number in scientific notation. See Example 2. 9
 5.5.7.45: Perform the operations. See Example 4. 2(x2 7x 1) 3(x2 2x 2)(c
 5.5.6.45: Multiply. See Examples 4 and 5. (4y 5)(y 7) (3
 5.5.2.45: Simplify. Do not use negative exponents in the answer. See Example ...
 5.5.1.45: Use the quotient rule for exponents to simplify each expression. Wr...
 5.5.5.45: Use vertical form to add the polynomials. See Example 4. z 3x 5 3 6...
 5.45: Write each number in standard notation. 2.68 100
 5.5.4.45: Find the degree of each polynomial. See Example 1. 3 162m7 34m183
 5.5.8.45: Perform each division. See Example 5. x 23x 2x2 24
 5.5.3.46: Write each number in scientific notation. See Example 2. 2
 5.5.7.46: Perform the operations. See Example 4. 2t(t 2) (t 1)(t 9)
 5.5.6.46: Multiply. See Examples 4 and 5. (3x 4)(x 5)
 5.5.2.46: Simplify. Do not use negative exponents in the answer. See Example ...
 5.5.1.46: Use the quotient rule for exponents to simplify each expression. Wr...
 5.5.5.46: Use vertical form to add the polynomials. See Example 4. 3x3 4x2 z ...
 5.46: Write each number in standard notation. 5.76 101
 5.5.4.46: Find the degree of each polynomial. See Example 1. 78t10 18t3 162
 5.5.8.46: Perform each division. See Example 5. x 3x 2x2 21x
 5.5.3.47: Write each number in scientific notation. See Example 2. 11
 5.5.7.47: Perform the operations. See Example 4. (3x 4)(2x 2) (2x 1)(x 3)2t
 5.5.6.47: Multiply. See Examples 4 and 5. (2x 3)(6x 5)
 5.5.2.47: Simplify. Do not use negative exponents in the answer. See Example ...
 5.5.1.47: Use the product and quotient rules for exponents to simplify each e...
 5.5.5.47: Use vertical form to add the polynomials. See Example 4. 3x 4xy 25 ...
 5.47: Evaluate each expression by first writing each number in scientific...
 5.5.4.47: Find the degree of each polynomial. See Example 1. 5.5tw 6.5t2w 7.5t37
 5.5.8.47: Perform each division. See Example 5. (3 11x 10x2) (5x 3)
 5.5.3.48: Write each number in scientific notation. See Example 2. 55
 5.5.7.48: Perform the operations. See Example 4. (5a 1)2 (a 8)(a 8)(3
 5.5.6.48: Multiply. See Examples 4 and 5. (5x 3)(2x 3)
 5.5.2.48: Simplify. Do not use negative exponents in the answer. See Example ...
 5.5.1.48: Use the product and quotient rules for exponents to simplify each e...
 5.5.5.48: Use vertical form to add the polynomials. See Example 4. 3x2y2 3x 4...
 5.48: Evaluate each expression by first writing each number in scientific...
 5.5.4.48: Find the degree of each polynomial. See Example 1. 0.4h 0.6h4c 0.6h...
 5.5.8.48: Perform each division. See Example 5. (6x 1 9x2) (3x 1)
 5.5.3.49: Write each number in scientific notation. See Example 2. 1,718,000,...
 5.5.7.49: Perform the operations. See Example 4. 5d(4d 1)2(5
 5.5.6.49: Multiply. See Examples 4 and 5. (3.8y 1)(2y 1)
 5.5.2.49: Simplify. See Example 5. a16b2
 5.5.1.49: Use the product and quotient rules for exponents to simplify each e...
 5.5.5.49: Subtract the polynomials. See Example 5. (3a2 2a 4) (a2 3a 7)5x
 5.49: World Population. As of January 2007, the worlds population was est...
 5.5.4.49: Evaluate each expression. See Example 2 and 3. x2 x 1 for a. x 2 b....
 5.5.8.49: Perform each division. See Example 6. (a2 25) (a 5)
 5.5.8.50: Perform each division. See Example 6. (b2 36) (b 6) 2
 5.5.3.50: Write each number in scientific notation. See Example 2. 44,180,000...
 5.5.7.50: Perform the operations. See Example 4. 2h(7h 2)2 5d
 5.5.6.50: Multiply. See Examples 4 and 5. (2.6x 3)(2x 1)
 5.5.2.50: Simplify. See Example 5. a17b2
 5.5.1.50: Use the product and quotient rules for exponents to simplify each e...
 5.5.5.50: Subtract the polynomials. See Example 5. (2b2 3b 5) (2b2 4b 9) (3a2
 5.50: Atoms. The illustration shows a cross section of an atom. How many ...
 5.5.4.50: Evaluate each expression. See Example 2 and 3. x2 x 7 for a. x 6 b....
 5.5.8.51: Perform each division. See Example 6. (x2 1) (x 1)
 5.5.3.51: Write each number in scientific notation. See Example 2. 0.00000000...
 5.5.7.51: Perform the operations. See Example 4. 4d(d ) 2 g3)(d2 g3
 5.5.6.51: Multiply. See Examples 4 and 5. a6m b 23b a3m 43b(
 5.5.2.51: Simplify. See Example 5. a12b3
 5.5.1.51: Use the power rule for exponents to simplify each expression. Write...
 5.5.5.51: Subtract the polynomials. See Example 5. (4h3 5h2 15) (h3 15) (2b2
 5.51: Consider the polynomial 3x3 x2 x 10. a. How many terms does the pol...
 5.5.4.51: Evaluate each expression. See Example 2 and 3. 4t2 2t 8 x for a. t ...
 5.5.8.52: Perform each division. See Example 6. (x2 9) (x 3)
 5.5.3.52: Write each number in scientific notation. See Example 2. 0.00000000...
 5.5.7.52: Perform the operations. See Example 4. 8y(x2 y2)(x2 y2 4d(d )
 5.5.6.52: Multiply. See Examples 4 and 5. a8t 12b a4t 52 a6m b 2
 5.5.2.52: Simplify. See Example 5. a15b3
 5.5.1.52: Use the power rule for exponents to simplify each expression. Write...
 5.5.5.52: Subtract the polynomials. See Example 5. (c5 5c4 12) (2c5 c4) (4h3
 5.52: Find the degree of each polynomial and classify it as a monomial, b...
 5.5.4.52: Evaluate each expression. See Example 2 and 3. 3s2 2s 8 2 for a. s ...
 5.5.8.53: Perform each division. See Example 6. 4x2 92x 3
 5.5.3.53: Write each number in scientific notation. See Example 2. 73 104
 5.5.7.53: Find a polynomial that represents the area of the figure. Leave p i...
 5.5.6.53: Multiply. See Examples 4 and 5. (t 8) 2 3)(t2 4)a8
 5.5.2.53: Simplify. See Example 5. acdb8
 5.5.1.53: Use the power rule for exponents to simplify each expression. Write...
 5.5.5.53: Subtract the polynomials. See Example 5. 38s8 34s7b a13s815s7b(c
 5.53: Evaluate x5 3x4 3 for x 0 x and x 2 5.
 5.5.4.53: Evaluate each expression. See Example 2 and 3. 12a2 14afor a. a 4 b...
 5.5.8.54: Perform each division. See Example 6. 25x2 165x 44
 5.5.3.54: Write each number in scientific notation. See Example 2. 99 105
 5.5.7.54: Find a polynomial that represents the area of the figure. Leave p i...
 5.5.6.54: Multiply. See Examples 4 and 5. (s3 6)(s3 (t 8) 2
 5.5.2.54: Simplify. See Example 5. aaxb10
 5.5.1.54: Use the power rule for exponents to simplify each expression. Write...
 5.5.5.54: Subtract the polynomials. See Example 5. a56q9 45q8b a14q938q8b
 5.54: Diving. The number of inches that the woman deflects the diving boa...
 5.5.4.54: Evaluate each expression. See Example 2 and 3. 13b2 19bfor a. b 9 b...
 5.5.8.55: Perform each division. See Example 6. 81b2 499b 72
 5.5.3.55: Write each number in scientific notation. See Example 2. 201.8 1015
 5.5.7.55: Find a polynomial that represents the area of the figure. Leave p i...
 5.5.6.55: Multiply. See Examples 4 and 5. (3a 2b)(4a b) (2
 5.5.2.55: Simplify. See Example 5. a 3mb4
 5.5.1.55: Use the power rule for exponents to simplify each expression. Write...
 5.5.5.55: Subtract the polynomials. See Example 5. (5ab 2b2) (2 ab b2) a
 5.55: Construct a table of solutions like the one shown here and then gra...
 5.5.4.55: Evaluate each expression. See Example 2 and 3. 9.2x x 6.5 2 x 1.45....
 5.5.8.56: Perform each division. See Example 6. 16t2 1214t 11
 5.5.3.56: Write each number in scientific notation. See Example 2. 154.3 1017
 5.5.7.56: Find a polynomial that represents the area of the figure. Leave p i...
 5.5.6.56: Multiply. See Examples 4 and 5. 2t 3s)(3t s)
 5.5.2.56: Simplify. See Example 5. a2tb4
 5.5.1.56: Use the power rule for exponents to simplify each expression. Write...
 5.5.5.56: Subtract the polynomials. See Example 5. (mn 8n2) (6 5mn n2) (5a
 5.56: Construct a table of solutions like the one shown here and then gra...
 5.5.4.56: Evaluate each expression. See Example 2 and 3. 10.3x2x 6.5 2 for a....
 5.5.8.57: Perform each division. Divide 2 13y 13 by y 1 2.
 5.5.3.57: Write each number in scientific notation. See Example 2. 0.073 103
 5.5.7.57: Perform the operations. (2v3 8)2
 5.5.6.57: Multiply. See Example 6. (x 2)(x2 2x 3)
 5.5.2.57: Simplify. Do not use negative exponents in the answer. See Example ...
 5.5.1.57: Use the power rule for exponents to simplify each expression. Write...
 5.5.5.57: Use vertical form to subtract the polynomials. See Example 6. Subtr...
 5.57: Simplify each polynomial and write the result in descending powers ...
 5.5.4.57: Evaluate each expression. See Example 2 and 3. x 3 3x2 2x 4x for a....
 5.5.8.58: Perform each division. Divide z2 7z 14 by z 3.
 5.5.3.58: Write each number in scientific notation. See Example 2. 0.0017 104
 5.5.7.58: Perform the operations. (8x4 3)2 (
 5.5.6.58: Multiply. See Example 6. (x 5)(x2 2x 3)
 5.5.2.58: Simplify. Do not use negative exponents in the answer. See Example ...
 5.5.1.58: Use the power rule for exponents to simplify each expression. Write...
 5.5.5.58: Use vertical form to subtract the polynomials. See Example 6. Subtr...
 5.58: Simplify each polynomial and write the result in descending powers ...
 5.5.4.58: Evaluate each expression. See Example 2 and 3. x3 3x2 x x 9 3 for a...
 5.5.8.59: Perform each division. 15a8b2 10a2b55a3b2
 5.5.3.59: Write each number in scientific notation. See Example 2. 36.02 1020
 5.5.7.59: Perform the operations. 3x(2x 3)(2x 3)
 5.5.6.59: Multiply. See Example 6. (4t 3)(t2 2t 3)
 5.5.2.59: Simplify. Do not use negative exponents in the answer. See Example ...
 5.5.1.59: Use the product and power rules for exponents to simplify each expr...
 5.5.5.59: Use vertical form to subtract the polynomials. See Example 6. Subtr...
 5.59: Simplify each polynomial and write the result in descending powers ...
 5.5.4.59: Evaluate each expression. See Example 2 and 3. y y 1 4 y3 y2 2y 1x ...
 5.5.8.60: Perform each division. 9a4b3 16a3b412a2b
 5.5.3.60: Write each number in scientific notation. See Example 2. 56.29 1030
 5.5.7.60: Perform the operations. 4y(3y 4)(3y 4)
 5.5.6.60: Multiply. See Example 6. (3x 1)(2x2 3x 1)
 5.5.2.60: Simplify. Do not use negative exponents in the answer. See Example ...
 5.5.1.60: Use the product and power rules for exponents to simplify each expr...
 5.5.5.60: Use vertical form to subtract the polynomials. See Example 6. Subtr...
 5.60: Simplify each polynomial and write the result in descending powers ...
 5.5.4.60: Evaluate each expression. See Example 2 and 3. y4 y3 y2 y y 1 4 y3 ...
 5.5.8.61: Perform each division. 3x 22 7x 6x3 10x2
 5.5.3.61: Use scientific notation to perform the calculations. Give all answe...
 5.5.7.61: Perform the operations. (4 0.4)(4 0.4) (
 5.5.6.61: Multiply. See Example 6. (x2 6x 7)(2x 5)
 5.5.2.61: Simplify. Do not use negative exponents in the answer. See Example ...
 5.5.1.61: Use the product and power rules for exponents to simplify each expr...
 5.5.5.61: Use vertical form to subtract the polynomials. See Example 6. Subtr...
 5.61: Perform the operations. (2r6 14r3) (23r6 5r3 5r)
 5.5.4.61: Evaluate each polynomial for a = 2 and b= 3 . See Example 4. 6a2b
 5.5.8.62: Perform each division. 3x 24x 4 6x3 x23x
 5.5.3.62: Use scientific notation to perform the calculations. Give all answe...
 5.5.7.62: Perform the operations. 4t 0.6)(4t 0.6)
 5.5.6.62: Multiply. See Example 6. (y2 2y 1)(4y 8)
 5.5.2.62: Simplify. Do not use negative exponents in the answer. See Example ...
 5.5.1.62: Use the product and power rules for exponents to simplify each expr...
 5.5.5.62: Use vertical form to subtract the polynomials. See Example 6. Subtr...
 5.62: Perform the operations. (7.1a2 2.2a 5.8) (3.4a2 3.9a 11.8)(2r
 5.5.4.62: Evaluate each polynomial for a = 2 and b= 3 . See Example 4. 4ab2 6
 5.5.8.63: Perform each division. 8x9 32x64x4
 5.5.3.63: Use scientific notation to perform the calculations. Give all answe...
 5.5.7.63: Perform the operations. (r2 10s)2
 5.5.6.63: Multiply. See Example 6. (r2 r 3)(r2 4r 5)
 5.5.2.63: Simplify. Do not use negative exponents in the answer. See Example ...
 5.5.1.63: Use the product and power rules for exponents to simplify each expr...
 5.5.5.63: Use vertical form to subtract the polynomials. See Example 6. 0.2x3...
 5.63: Perform the operations. (3r3s r2s2 3rs3 3s4) (r3s 8r2s2 4rs3 s4)(7.1
 5.5.4.63: Evaluate each polynomial for a = 2 and b= 3 . See Example 4. a3 b3
 5.5.8.64: Perform each division. 30y8 40y710y6
 5.5.3.64: Use scientific notation to perform the calculations. Give all answe...
 5.5.7.64: Perform the operations. (m2 8n)2
 5.5.6.64: Multiply. See Example 6. (w2 w 9)(w2 w 3)
 5.5.2.64: Simplify. Do not use negative exponents in the answer. See Example ...
 5.5.1.64: Use the product and power rules for exponents to simplify each expr...
 5.5.5.64: Use vertical form to subtract the polynomials. See Example 6. (6.3y...
 5.64: Perform the operations. 78m4 15m3b a14m4 15m3b 35m3
 5.5.4.64: Evaluate each polynomial for a = 2 and b= 3 . See Example 4. a3 b3 a
 5.5.8.65: Perform each division. 6a2 5a 62a 3
 5.5.3.65: Use scientific notation to perform the calculations. Give all answe...
 5.5.7.65: Perform the operations. 2(x 3) 4(x 2) 3
 5.5.6.65: Multiply using vertical form. See Example 7. x r 6 2 2x 1(w2
 5.5.2.65: Simplify. Do not use negative exponents in the answer. See Example ...
 5.5.1.65: Use the product and power rules for exponents to simplify each expr...
 5.5.5.65: Perform the operations. See Example 7. Subtract (3x 7x 1) 2 4x 7)fr...
 5.65: Find the difference when (3z3 4z 7) is subtracted from the sum of (...
 5.5.4.65: Evaluate each polynomial for a = 2 and b= 3 . See Example 4. a2 5a...
 5.5.8.66: Perform each division. 3b2 5b 23b 26
 5.5.3.66: Use scientific notation to perform the calculations. Give all answe...
 5.5.7.66: Perform the operations. 3(y 4) 5(y 3)
 5.5.2.66: Simplify. Do not use negative exponents in the answer. See Example ...
 5.5.6.66: Multiply using vertical form. See Example 7. 5r2 x r 6 2
 5.5.1.66: Use the product and power rules for exponents to simplify each expr...
 5.5.5.66: Perform the operations. See Example 7. Subtract (32x2 17x 45) from ...
 5.66: Gardening. Find a polynomial that represents the length of the wood...
 5.5.4.66: Evaluate each polynomial for a = 2 and b= 3 . See Example 4. a3 2a...
 5.5.8.67: Perform each division. 45m109m5
 5.5.3.67: Use scientific notation to perform the calculations. Give all answe...
 5.5.7.67: Perform the operations. ad4 14b2
 5.5.2.67: Simplify. Do not use negative exponents in the answer. See Example ...
 5.5.6.67: Multiply using vertical form. See Example 7. 4x x 1 2 3x 4x
 5.5.1.67: Use the power of a product rule for exponents to simplify each expr...
 5.5.5.67: Perform the operations. See Example 7. Subtract t3 2t2 2from the su...
 5.67: Add: 3x 12x 2 5x 2 x 7x) 2 3x 62
 5.5.4.67: Evaluate each polynomial for a = 2 and b= 3 . See Example 4. 5ab3 ...
 5.5.8.68: Perform each division. 4n128n4
 5.5.3.68: Use scientific notation to perform the calculations. Give all answe...
 5.5.7.68: Perform the operations. aq6 13b2
 5.5.2.68: Simplify. Do not use negative exponents in the answer. See Example ...
 5.5.6.68: Multiply using vertical form. See Example 7. x2 4x x 1 2
 5.5.1.68: Use the power of a product rule for exponents to simplify each expr...
 5.5.5.68: Perform the operations. See Example 7. Subtract 3z 3z 7 3 4z 7t3 fr...
 5.68: Subtract: 20x3 12x (12x3 7x2 x 7x) 2
 5.5.4.68: Evaluate each polynomial for a = 2 and b= 3 . See Example 4. ab3 a...
 5.5.8.69: Perform each division. 3b2 11b 63b 2
 5.5.3.69: Use scientific notation to perform the calculations. Give all answe...
 5.5.7.69: Perform the operations. (d 7)(d 7) (t
 5.5.2.69: Simplify. Do not use negative exponents in the answer. See Example ...
 5.5.6.69: Multiply. See Example 8. 4x(2x 1)(x 2)3
 5.5.1.69: Use the power of a product rule for exponents to simplify each expr...
 5.5.5.69: Perform the operations. (9a 3a) (2a 4a2)
 5.69: Multiply. (2x 2)(5x)
 5.5.4.69: Construct a table of solutions and then graph the equation. See Exa...
 5.5.8.70: Perform each division. 8a2 2a 32a 1
 5.5.3.70: Use scientific notation to perform the calculations. Give all answe...
 5.5.7.70: Perform the operations. (t 2)(t 2)
 5.5.2.70: Simplify. Do not use negative exponents in the answer. See Example ...
 5.5.6.70: Multiply. See Example 8. 5a(3a 2)(2a 3)4
 5.5.1.70: Use the power of a product rule for exponents to simplify each expr...
 5.5.5.70: Perform the operations. (4b2 3b) (7b b2)
 5.70: Multiply. (6x4z3)(x6z2 (2
 5.5.4.70: Construct a table of solutions and then graph the equation. See Exa...
 5.5.8.71: Perform each division. 2x 7x 21 2x2 104.
 5.5.3.71: Use scientific notation to perform the calculations. Give all answe...
 5.5.7.71: Perform the operations. (2a 3b)2
 5.5.2.71: Simplify. Do not use negative exponents in the answer. See Example ...
 5.5.6.71: Multiply. See Example 8. 3a(a b)(a b)5a
 5.5.1.71: Use the power of a product rule for exponents to simplify each expr...
 5.5.5.71: Perform the operations. Subtract (y5 5y4 1.2) from (2y5 y4)
 5.71: Multiply. 5b ) 3 6b2 4b6
 5.5.4.71: Construct a table of solutions and then graph the equation. See Exa...
 5.5.4.72: Construct a table of solutions and then graph the equation. See Exa...
 5.5.8.72: Perform each division. 2x 1x 2 6x22x
 5.5.3.72: Use scientific notation to perform the calculations. Give all answe...
 5.5.7.72: Perform the operations. (2x 5y)2
 5.5.2.72: Simplify. Do not use negative exponents in the answer. See Example ...
 5.5.6.72: Multiply. See Example 8. 2r(r s)(r s)3a
 5.5.1.72: Use the power of a product rule for exponents to simplify each expr...
 5.5.5.72: Perform the operations. Subtract (4w3 5w2 7.6) from (w3 15w2)
 5.72: Multiply. 23h5(3h9 12h6)
 5.5.4.73: Construct a table of solutions and then graph the equation. See Exa...
 5.5.8.73: Perform each division. x3 1x 1
 5.5.3.73: Use scientific notation to perform the calculations. Give all answe...
 5.5.7.73: Perform the operations. (n 6)(n 6) (a
 5.5.2.73: Simplify. Do not use negative exponents in the answer. See Example ...
 5.5.6.73: Multiply. See Example 8. (2a2)(3a3)(3a 2)2r
 5.5.1.73: Use the power of a product rule for exponents to simplify each expr...
 5.5.5.73: Perform the operations. 3r 4r 7r4
 5.73: Multiply. 3n xy) 2(3n2 5n 2)2
 5.5.4.74: Construct a table of solutions and then graph the equation. See Exa...
 5.5.8.74: Perform each division. x3 8x 2x
 5.5.3.74: Use scientific notation to perform the calculations. Give all answe...
 5.5.7.74: Perform the operations. (a 12)(a 12)
 5.5.2.74: Simplify. Do not use negative exponents in the answer. See Example ...
 5.5.6.74: Multiply. See Example 8. (3x)(2x2)(x 4)
 5.5.1.74: Use the power of a product rule for exponents to simplify each expr...
 5.5.5.74: Perform the operations. 2b4 7b 3b4
 5.74: Multiply. x2y(y2 3n xy)
 5.5.4.75: Construct a table of solutions and then graph the equation. See Exa...
 5.5.8.75: Perform each division. 65rs215r2s5
 5.5.3.75: Use scientific notation to perform the calculations. Give all answe...
 5.5.7.75: Perform the operations. (m 10)2 (m 8)2
 5.5.2.75: Simplify. Do not use negative exponents in the answer. See Example ...
 5.5.6.75: Multiply. See Example 8. (x 4)(x 1)(x 3)
 5.5.1.75: Use rules for exponents to simplify each expression. See Example 10...
 5.5.5.75: Perform the operations. 0.03f20.25f 0.91 (0.17f2 1.18)
 5.75: Multiply. 2x(3x4)(x 2)
 5.5.4.76: Construct a table of solutions and then graph the equation. See Exa...
 5.5.8.76: Perform each division. 112uz442u3z8
 5.5.3.76: Use scientific notation to perform the calculations. Give all answe...
 5.5.7.76: Perform the operations. (5y 1)2 (y 7)(y 7)
 5.5.2.76: Simplify. Do not use negative exponents in the answer. See Example ...
 5.5.6.76: Multiply. See Example 8. (x 6)(x 2)(x 4)
 5.5.1.76: Use rules for exponents to simplify each expression. See Example 10...
 5.5.5.76: Perform the operations. 0.05r2 0.33r) (0.48 r2 0.15r 2.14)(0.
 5.76: Multiply. a2b2(a4b2 a3b3 ab4 7a)2x
 5.5.4.77: Construct a table of solutions and then graph the equation. See Exa...
 5.5.8.77: Perform each division. 18w6 99w41
 5.5.3.77: Find each power. (456.4)6
 5.5.7.77: Perform the operations. 2m n)3
 5.5.2.77: Simplify. Do not use negative exponents in the answer. See Example ...
 5.5.6.77: Multiply (5x 2)(6x 1) (8
 5.5.1.77: Use rules for exponents to simplify each expression. See Example 10...
 5.5.5.77: Perform the operations. a78r459r2 94b a38r4 23r2 14b(0.05
 5.77: Multiply. (x 3)(x 2)
 5.78: Multiply. (2x 1)(x 1)
 5.5.4.78: Construct a table of solutions and then graph the equation. See Exa...
 5.5.8.78: Perform each division. 404 1683
 5.5.3.78: Find each power. (0.009)6
 5.5.7.78: Perform the operations. p 2q)3
 5.5.2.78: Simplify. Do not use negative exponents in the answer. See Example ...
 5.5.6.78: Multiply (8x 1)(3x 7)
 5.5.1.78: Use rules for exponents to simplify each expression. See Example 10...
 5.5.5.78: Perform the operations. a45t4 13t212b a12t438t2 116ba7
 5.79: Multiply. (3t 3)(2t 2) )
 5.5.4.79: Construct a table of solutions and then graph the equation. See Exa...
 5.5.8.79: Perform each division. 9m 6m
 5.5.3.79: Find each power. 2255
 5.5.7.79: Perform the operations. a5m 65b2
 5.5.2.79: Simplify. Do not use negative exponents in the answer. See Example ...
 5.5.6.79: Multiply (3x ) 2 4x 7)
 5.5.1.79: Use rules for exponents to simplify each expression. See Example 11...
 5.5.5.79: Perform the operations. (c 8t 2 2 2c 9)3t3 4t2 8c 3t 5
 5.80: Multiply. (3n4 5n2(2n4 n2)
 5.5.4.80: Construct a table of solutions and then graph the equation. See Exa...
 5.5.8.80: Perform each division. 10n 6n
 5.5.3.80: Find each power. a13b55
 5.5.7.80: Perform the operations. a6m 76b2
 5.5.2.80: Simplify. Do not use negative exponents in the answer. See Example ...
 5.5.6.80: Multiply (2y2 7y 8)(3y3 (3x ) 2
 5.5.1.80: Use rules for exponents to simplify each expression. See Example 11...
 5.5.5.80: Perform the operations. 1t3 (c 8t 2 2 2c 9)3t3 4t
 5.81: Multiply. a5(a2 b)(5a2 b)
 5.5.4.81: Supermarkets. A grocer plans to set up a pyramidshaped display of ...
 5.5.8.81: Perform each division. y3 yy 2
 5.5.3.81: Astronomy. The distance from Earth to Alpha Centauri (the nearest s...
 5.5.7.81: Perform the operations. (r2 s2)2
 5.5.2.81: Simplify. Do not use negative exponents in the answer. Assume that ...
 5.5.6.81: Multiply 2(t 4)(t 3) 8
 5.5.1.81: Use rules for exponents to simplify each expression. See Example 11...
 5.5.5.81: Perform the operations. (12.1h3 9.9h2) (7.3h3 1.1h2)11
 5.82: Multiply. 6.6(a 1)(a 1) 5
 5.5.4.82: Packaging. The polynomial 4x3 44x2 120xy gives the volume (in cubic...
 5.5.8.82: Perform each division. a3 aa 3
 5.5.3.82: Water. According to the U.S. Geological Survey, the total water sup...
 5.5.7.82: Perform the operations. (t2 u2)2 (
 5.5.2.82: Simplify. Do not use negative exponents in the answer. Assume that ...
 5.5.6.82: Multiply 4(x 7)(x 6)
 5.5.1.82: Use rules for exponents to simplify each expression. See Example 11...
 5.5.5.82: Perform the operations. (5.7n3 2.1n) (6.2n3 3.9n)(12
 5.83: Multiply. a3t 13b a6t 53ba 6
 5.5.4.83: Stopping Distance. The number of feet that a car travels before sto...
 5.5.8.83: Perform each division. 5x4 10x25x3
 5.5.3.83: Earth, Sun, Moon. The surface area of Earth is 1.97 108 square mile...
 5.5.7.83: Perform the operations. (x 2)2
 5.5.2.83: Simplify. Do not use negative exponents in the answer. Assume that ...
 5.5.6.83: Multiply 3a 4y 3 2 2a 43y2 2a 2y
 5.5.1.83: Use the power of a quotient rule for exponents to simplify each exp...
 5.5.5.83: Perform the operations. (20 4rt 5r2t) (10 5rt)(5.
 5.84: Multiply. 5.5 6b)(2 4b)
 5.5.4.84: Suspension Bridges. The following polynomial 0.0000001s4 0.0066667s...
 5.5.8.84: Perform each division. 24x7 32x216x3
 5.5.3.84: Atoms. The number of atoms in 1 gram of iron is approximately 1.08 ...
 5.5.7.84: Perform the operations. (a 2)2
 5.5.2.84: Simplify. Do not use negative exponents in the answer. Assume that ...
 5.5.6.84: Multiply y2 3a 4y 3 2 2a 43y2
 5.5.1.84: Use the power of a quotient rule for exponents to simplify each exp...
 5.5.5.84: Perform the operations. (5m2 8m 8) (20m2 m)(20
 5.85: Multiply. (2a 3)(4a2 6a 9)
 5.5.4.85: Sound Engineering Technician Many people in the recording industry ...
 5.5.8.85: Perform each division. 3 4x3 5x2 2x 4x324
 5.5.3.85: Sand. The mass of one grain of beach sand is approximately 0.000000...
 5.5.7.85: Perform the operations. (r 2)2
 5.5.2.85: Simplify. Do not use negative exponents in the answer. Assume that ...
 5.5.6.85: Multiply (t 2s)(9t 3s) (4
 5.5.1.85: Use the power of a quotient rule for exponents to simplify each exp...
 5.5.5.85: Perform the operations. (3x2 3x 2) (3x2 4x 3)(5m2
 5.86: Multiply. (8x2 x 2)(7x2 x 1)
 5.5.4.86: Twitter. When x 1, the polynomial 4.4x2 36.2x 42.5y approximates th...
 5.5.8.86: Perform each division. 2x 37x2 3 4x 2x33
 5.5.3.86: Molecules. The mass of a water molecule is approximately 0.00000000...
 5.5.7.86: Perform the operations. (n 10)2
 5.5.2.86: Simplify. Do not use negative exponents in the answer. Assume that ...
 5.5.6.86: Multiply (4t u)(3t u)
 5.5.1.86: Use the power of a quotient rule for exponents to simplify each exp...
 5.5.5.86: Perform the operations. (4c2 3c 2) (3c2 4c 2)(3x
 5.87: Multiply using vertical form: 4x2 2x 12x 1
 5.5.4.87: Science History. The Italian scientist Galileo Galilei (15641642) b...
 5.5.8.87: Perform each division. (x2 6x 15) (x 5)
 5.5.3.87: Wavelengths. Examples of the most common types of electromagnetic w...
 5.5.7.87: Perform the operations. (n 2)4
 5.5.2.87: Simplify. Do not use negative exponents in the answer. Assume that ...
 5.5.6.87: Multiply a )12ab(4a4)(a5
 5.5.1.87: Simplify each expression, if possible. ax2y3 b5
 5.5.5.87: Perform the operations. 23d2 14c256c2 12cd13d2(4c
 5.88: Refer to the illustration below. Find a polynomial that represents ...
 5.5.4.88: Dolphins. At a marine park, three trained dolphins jump in unison o...
 5.5.8.88: Perform each division. (x2 10x 30) (x 6)
 5.5.3.88: Exploration. On July 4, 1997, the Pathfinder, carrying the rover ve...
 5.5.7.88: Perform the operations. (c d)4
 5.5.2.88: Simplify. Do not use negative exponents in the answer. Assume that ...
 5.5.6.88: Multiply (12b)a76bb(b4 a )
 5.5.1.88: Simplify each expression, if possible. au4v2 b6
 5.5.5.88: Perform the operations. 35s2 25t2 12s2 710st 310st2
 5.89: Find each product. (a 3)2
 5.5.4.89: Describe how to determine the degree of a polynomial.
 5.5.8.89: Perform each division. 12x3y2 8x2y 4x4xy
 5.5.3.89: Sound Engineering Technician The speed of sound in air is approxima...
 5.5.7.89: Perform the operations. 5(y2 2y 6) 6(2y2 2y 5)(c
 5.5.2.89: Simplify. Do not use negative exponents in the answer. Assume that ...
 5.5.6.89: Multiply a4a tb 54rb a4a34rb
 5.5.1.89: Simplify each expression, if possible. y3y2y4
 5.5.5.89: Perform the operations. (3x 7) (4x 3)3
 5.90: Find each product. (m 2)3
 5.5.4.90: List some words that contain the prefixes mono, bi, or tri.
 5.5.8.90: Perform each division. 12a2b2 8a2b 4ab4ab1
 5.5.3.90: Protons. The mass of one proton is approximately 1.7 1024 gram. Use...
 5.5.7.90: Perform the operations. (4b 1)2 (b 7)(b 7)5
 5.5.2.90: Simplify. Do not use negative exponents in the answer. Assume that ...
 5.5.6.90: Multiply 5c 25tb a10c15 a4a tb 5
 5.5.1.90: Simplify each expression, if possible. y4yy6
 5.5.5.90: Perform the operations. (2y 3) (4y 7)(3x
 5.91: Find each product. (x 7)(x 7) (
 5.5.4.91: To graph y x2 4, a table of solutions is constructed and a graph is...
 5.5.8.91: Perform each division. a 5a2 17a 6412
 5.5.3.91: Light Years. One light year is about 5.87 1012 miles. Use scientifi...
 5.5.7.91: Perform the operations. (3x 2)2 (2x 1)2
 5.5.2.91: Simplify. Do not use negative exponents in the answer. Assume that ...
 5.5.6.91: Multiply (a b)(a b) (m
 5.5.1.91: Simplify each expression, if possible. 159156
 5.5.5.91: Perform the operations. Subtract 1.7t 2.1t 1.7 2 1.1t from the sum ...
 5.92: Find each product. (2x 0.9)(2x 0.9)
 5.5.4.92: The expression x + y is a binomial. Is also a binomial? Explain.
 5.5.8.92: Perform each division. b 2b2 4b 6a
 5.5.3.92: Oil. As of 2009, Saudi Arabia was believed to have crude oil reserv...
 5.5.7.92: Perform the operations. (4a 3)2 (a 6)2
 5.5.2.92: Simplify. Do not use negative exponents in the answer. Assume that ...
 5.5.6.92: Multiply (m n)(m n)a
 5.5.1.92: Simplify each expression, if possible. 2513257
 5.5.5.92: Perform the operations. Subtract 1.07x 5.01 2 2.07x3 from the sum o...
 5.93: Find each product. (2y 1) 2
 5.5.4.93: Solve each inequality. Write the solution set in interval notation ...
 5.5.8.93: Perform each division. a3 1a 1b
 5.5.3.93: Insured Deposits. As of June 2009, the total insured deposits in U....
 5.5.7.93: Perform the operations. ( 8)2
 5.5.2.93: Simplify. Do not use negative exponents in the answer. Assume that ...
 5.5.6.93: Multiply (x 6)(x3 5x2 4x 4)(a
 5.5.1.93: Simplify each expression, if possible. t5t6tt2t3
 5.5.5.93: Perform the operations. 32u3 16u3
 5.94: Find each product. (y2 1)(y2 1) 2
 5.5.4.94: Solve each inequality. Write the solution set in interval notation ...
 5.5.8.94: Perform each division. y3 8y 2
 5.5.3.94: Currency. As of December 2009, the number of $20 bills in circulati...
 5.5.7.94: Perform the operations. (w 9)2 (
 5.5.2.94: Simplify. Do not use negative exponents in the answer. Assume that ...
 5.5.6.94: Multiply (x 8)(x3 4x2 2x 2)(x
 5.5.1.94: Simplify each expression, if possible. m5m12mm7m4
 5.5.5.94: Perform the operations. 25x3 7x3 32
 5.95: Find each product. (6r2 10s)2
 5.5.4.95: Simplify each expression. Do not use negative exponents in the answ...
 5.5.8.95: Perform each division. 6x3 x2 2x 13x 1y
 5.5.3.95: Powers of 10. In the United States, we use Latin prefixes in front ...
 5.5.7.95: Perform the operations. a6b b 12b a6b 12b
 5.5.2.95: Simplify. Do not use negative exponents in the answer. Assume that ...
 5.5.6.95: Multiply 9x 5y 10) 2(x2 2x 6)(x
 5.5.1.95: Simplify each expression, if possible. (k 2)15(k 2)
 5.5.5.95: Perform the operations. (9d2 6d) (8d 4d2)
 5.96: Find each product. (8a 3c)2 (6
 5.5.4.96: Simplify each expression. Do not use negative exponents in the answ...
 5.5.8.96: Perform each division. 3y3 4y2 2y 3y 3
 5.5.3.96: Supercomputers. As of June 2009, the worlds fastest computer was th...
 5.5.7.96: Perform the operations. 6. 4h 23b a4h 23 a
 5.5.2.96: Simplify. Do not use negative exponents in the answer. Assume that ...
 5.5.6.96: Multiply 4y2(y2 9x 5y 10) 2
 5.5.1.96: Simplify each expression, if possible. (m 8)20(m 8)(
 5.5.5.96: Perform the operations. (2c2 4c) (8c c2)(9d
 5.97: Find each product. 80s(r2 s2)(r2 s2
 5.5.4.97: Simplify each expression. Do not use negative exponents in the answ...
 5.5.8.97: Perform each division. 8x17y2016x15y30
 5.5.3.97: In what situations would scientific notation be more convenient tha...
 5.5.7.97: Perform the operations. 3y(y 2) (y 1)(y 1)
 5.5.2.97: Simplify. Do not use negative exponents in the answer. Assume that ...
 5.5.6.97: Multiply 4y(y 3)(y 7) 2t
 5.5.1.97: Simplify each expression, if possible. cd4 cd
 5.5.5.97: Perform the operations. x3y2 4x2y 7x 12(4x3y2 6x2y 9x 3)3x3
 5.98: Find each product. 4b(3b 4)2 8
 5.5.4.98: Simplify each expression. Do not use negative exponents in the answ...
 5.5.8.98: Perform each division. 21a30b1514a40b12
 5.5.3.98: To multiply a number by a power of 10, we move the decimal point. W...
 5.5.7.98: Perform the operations. (x y)(x y) x(x y)
 5.5.2.98: Simplify. Do not use negative exponents in the answer. Assume that ...
 5.5.6.98: Multiply 2t(t 8)(t 10)4
 5.5.1.98: Simplify each expression, if possible. ab3 ab4 c
 5.5.5.98: Perform the operations. 2x2y2 12y2(10x2y2 9xy 24y2)
 5.99: Find each product. t 34b2
 5.5.4.99: Find a threeterm polynomial of degree 2 whose value will be 1 when...
 5.5.8.99: Perform each division. (6m2 m 40) (2m 5)2
 5.5.3.99: 2.3 103 contains a negative sign but represents a positive number. ...
 5.5.7.99: Perform the operations. (6 2d3)2(
 5.5.2.99: Simplify. Do not use negative exponents in the answer. Assume that ...
 5.5.6.99: Multiply 0.3p ) 5(0.4p4 6p2
 5.5.1.99: Simplify each expression, if possible. ay3y5yy2 b3
 5.5.5.99: Perform the operations. (2x2 3x 1) (4x2 3x 2) (2x2 3x 2)(10x2
 5.100: Find each product. ax 43b2
 5.5.4.100: Graph: y 2x3 3x2 11x 6x
 5.5.8.100: Perform each division. (12d2 20d 3) (6d 1)(6
 5.5.3.100: Explain why 237.8 108 is not written in scientific notation.
 5.5.7.100: Perform the operations. (6 5p2)2
 5.5.2.100: Simplify. Do not use negative exponents in the answer. Assume that ...
 5.5.6.100: Multiply 0.5u5(0.4u6 0.5u3 0.3p ) 5
 5.5.1.100: Simplify each expression, if possible. as5s6s2s2 b4
 5.5.5.100: Perform the operations. (3z2 4z 7) (2z2 2z 1) (2z2 3z 7) 108. Read
 5.101: Perform the operations. 3(9x2 3x 7) 2(11x2 5x 9)ax
 5.5.8.101: Perform the indicated operations. a. 16x2 16x 54xb. 16x2 16x 54x 116
 5.5.3.101: If y 1, find the value of 5y 55
 5.5.7.101: Perform the operations. (2e 1)3
 5.5.2.101: Simplify. Do not use negative exponents in the answer. Assume that ...
 5.5.6.101: Multiply 8.2pq(2pq 3p 5q) 5.
 5.5.1.101: Simplify each expression, if possible. s2s2s2s3s
 5.5.5.101: Perform the operations. 4x m 3 4x2 3x 10(3z (5x m) 3 2x2 4x 4)7m5
 5.102: Perform the operations. (5c 1)2 (c 6)(c 6)3
 5.5.8.102: Perform the indicated operations. a. 9x3 3x2 4x 4 3x b. 9x3 3x2 4x ...
 5.5.3.102: What is the intercept of the graph of y 3x 5?
 5.5.7.102: Perform the operations. (3m 2n)3
 5.5.2.102: Simplify. Do not use negative exponents in the answer. Assume that ...
 5.5.6.102: Multiply 5.3ab(2ab 6a 3b)
 5.5.1.102: Simplify each expression, if possible. w4w4w4w2w
 5.5.5.102: Perform the operations. 7m5 m3 9m2 4x m 3 (8m5 2m3 m2 (5x m) 3 2x
 5.103: Graphic Arts. A Dr. Martin Luther King poster has his picture with ...
 5.5.8.103: Furnace Filters. The area of the rectangularshaped furnace filter ...
 5.5.3.103: Counseling. At the end of her first year of practice, a family coun...
 5.5.7.103: Perform the operations. (8x 3)2
 5.5.2.103: Simplify. Do not use negative exponents in the answer. Assume that ...
 5.5.6.103: Multiply (3x y)(x2 8xy 16y2)8.2
 5.5.1.103: Simplify each expression, if possible. (6a3b2)3
 5.5.5.103: Perform the operations. a. (8x2 3x) (11x2 6x 10) b. (8x2 3x) (11x2 ...
 5.104: Find a polynomial that represents the area of the triangle. 10x 4) ...
 5.5.8.104: MiniBlinds. The area covered by the miniblinds is (3x3 6x) square...
 5.5.3.104: Is (0, 5) a solution of 2x 3y 14?
 5.5.7.104: Perform the operations. (4b 8)2 (8
 5.5.2.104: Simplify. Do not use negative exponents in the answer. Assume that ...
 5.5.6.104: Multiply (3x y)(x2 3xy y2
 5.5.1.104: Simplify each expression, if possible. (10r3s2)2
 5.5.5.104: Perform the operations. a. (10 2st 3s2t) (4 6st)b. (10 2st 3s2t) (4...
 5.105: Divide. Do not use negative exponents in the answer. 16n88n5
 5.5.8.105: Pool. The rack shown in the illustration is used to set up the ball...
 5.5.3.105: Consider 2.5 104. Answer the following questions in scientific nota...
 5.5.7.105: Perform the indicated operations. a. (xy)2 b. (x y)2
 5.5.2.105: Simplify. Do not use negative exponents in the answer. Assume that ...
 5.5.6.105: Perform the indicated operations to simplify each expression, if po...
 5.5.1.105: Simplify each expression, if possible. a3m42n5 b5
 5.5.5.105: Greek Architecture. a. Find a polynomial that represents the differ...
 5.106: Divide. Do not use negative exponents in the answer. 14x2y21xy3
 5.5.8.106: Communications. Telephone poles were installed every (2x 3) feet al...
 5.5.3.106: a. Write the numbers one million and one millionth in scientific no...
 5.5.7.106: Perform the indicated operations. a. (cd) b. (c d)2
 5.5.2.106: Simplify. Do not use negative exponents in the answer. Assume that ...
 5.5.6.106: Perform the indicated operations to simplify each expression, if po...
 5.5.1.106: Simplify each expression, if possible. a2s23t5 b5
 5.5.5.106: Jets. Find a polynomial that represents the length of the larger jet.
 5.107: Divide. Do not use negative exponents in the answer. a15 24a86a12
 5.5.8.107: Explain how to check the following long division. 30(15x 25)15x 5(3...
 5.5.7.107: Perform the indicated operations. a. (2b2d)2b. (2b2 d)2 (
 5.5.2.107: Simplify. Do not use negative exponents in the answer. Assume that ...
 5.5.6.107: Perform the indicated operations to simplify each expression, if po...
 5.5.1.107: Simplify each expression, if possible. (a2b2)15(ab)9
 5.5.5.107: Piatas. Find a polynomial that represents the length of the rope us...
 5.108: Divide. Do not use negative exponents in the answer. 15a5b ab2 25b5a2b
 5.5.8.108: Explain the error: 8x2 6x16x1 18x2 13
 5.5.7.108: Perform the indicated operations. a. (mn)3 b. (m n)3
 5.5.2.108: Simplify. Do not use negative exponents in the answer. Assume that ...
 5.5.6.108: Perform the indicated operations to simplify each expression, if po...
 5.5.1.108: Simplify each expression, if possible. (s3t3)4(st)2
 5.5.5.108: Reading Blueprints. Find a polynomial that represents a. the differ...
 5.109: Divide. Do not use negative exponents in the answer. x 1x2 6x 515a
 5.5.8.109: How do you know when to stop the long division method when dividing...
 5.5.7.109: Playpens. Find a polynomial that represents the area of the floor o...
 5.5.2.109: Simplify. Do not use negative exponents in the answer. Assume that ...
 5.5.6.109: Perform the indicated operations to simplify each expression, if po...
 5.5.1.109: Simplify each expression, if possible. (n4n)3(n3)6
 5.5.5.109: Naval Operations. Two warning flares are fired upward at the same t...
 5.110: Divide. Do not use negative exponents in the answer. 2x2 3 7xx 3
 5.5.8.110: When dividing x x 1 3 1 by x 1, why is it helpful to write as x3 1 ...
 5.5.7.110: Storage. Find a polynomial that represents the volume of the cubicl...
 5.5.2.110: Simplify. Do not use negative exponents in the answer. Assume that ...
 5.5.6.110: Perform the indicated operations to simplify each expression, if po...
 5.5.1.110: Simplify each expression, if possible. (y3y)2(y2)2
 5.5.5.110: Auto Mechanics. The length of a fan belt that wraps around three pu...
 5.111: Divide. Do not use negative exponents in the answer. (15x2 8x 8) (3...
 5.5.8.111: Write an equation of the line with slope 116 that passes through (2...
 5.5.7.111: Paper Towels. The amount of space (volume) occupied by the paper on...
 5.5.2.111: Simplify. Do not use negative exponents in the answer. Assume that ...
 5.5.6.111: Perform the indicated operations to simplify each expression, if po...
 5.5.1.111: Simplify each expression, if possible. (6h)8(6h)6
 5.5.5.111: How do you recognize like terms?
 5.112: Divide. Do not use negative exponents in the answer. Divide 25y 9 b...
 5.5.8.112: Solve S 2prh 2pr fh. or h.
 5.5.7.112: Signal Flags. Refer to the illustration below. Find a polynomial th...
 5.5.2.112: Simplify. Do not use negative exponents in the answer. Assume that ...
 5.5.6.112: Perform the indicated operations to simplify each expression, if po...
 5.5.1.112: Simplify each expression, if possible. (7r)10(7r)8
 5.5.5.112: Explain why the vertical form used in algebra to add 2x 3x 6 2 4x 3...
 5.113: Divide. Do not use negative exponents in the answer. 3x 113x 4 9x325
 5.5.8.113: Perform each division. 6a3 17a2b 14ab2 3b32a 3b11
 5.5.7.113: What is a binomial? Explain how to square it.
 5.5.2.113: Simplify. Do not use negative exponents in the answer. Assume that ...
 5.5.6.113: Stamps. Find a polynomial that represents the area of the stamp.
 5.5.1.113: Simplify each expression, if possible. x4y7xy3
 5.5.5.113: Explain the error below. 7x2y 6x2y 13x4y25
 5.114: Divide. Do not use negative exponents in the answer. 2x 16x3 x2 13
 5.5.8.114: Perform each division. (2x4 3x3 3x2 5x 3) (2x2 x 1)6a3
 5.5.7.114: Writing (x y)2 as x 2 y 2 illustrates a common error. Explain.
 5.5.2.114: Simplify. Do not use negative exponents in the answer. Assume that ...
 5.5.6.114: Parking. Find a polynomial that represents the total area of the va...
 5.5.1.114: Simplify each expression, if possible. p7q10p2q7
 5.5.5.114: Explain the error below. 12x2 4) (3x2 1) 12x2 4 3x2 17x2
 5.115: Use multiplication to show that (3y2 11y 6) (y 3) is 3y 2.
 5.5.8.115: Perform each division. (x6 2x4 6x2 9) (x2 3)
 5.5.7.115: We can find (2x 3)2 and (5y 6)2 using the FOIL method or using spec...
 5.5.2.115: Simplify. Do not use negative exponents in the answer. Assume that ...
 5.5.6.115: Sunglasses. An ellipse is an ovalshaped curve. The area of an elli...
 5.5.1.115: Simplify each expression, if possible. am3 b4
 5.5.5.115: A student was asked to simplify 16 x2 3 23 x2. Explain the error be...
 5.116: Bedding. The area of a rectangularshaped bed sheet is represented ...
 5.5.8.116: Perform each division. 6x6my6n 15x4my7n 24x2my8n3x2myn
 5.5.7.116: a. Fill in the blanks: (xy)2 is the _____ of a product and (x y)2 i...
 5.5.2.116: Simplify. Do not use negative exponents in the answer. Assume that ...
 5.5.6.116: Gardening. Refer to the illustration below. a. Find the area of the...
 5.5.1.116: Simplify each expression, if possible. an5b3
 5.5.5.116: Explain the error below. Subtract (2d 9) 2 d 3) and (d2 (2d 9) (2d2...
 5.5.8.117: Perform each division. a8 a6 4a4 5a2 3a4 2a2 36x
 5.5.7.117: Simplify: 3036
 5.5.2.117: Simplify. Do not use negative exponents in the answer. Assume that ...
 5.5.6.117: Luggage. Find a polynomial that represents the volume of the garmen...
 5.5.1.117: Simplify each expression, if possible. a. a3 a3 b. (a3)3 c. a3 a3 (
 5.5.5.117: What is the sum of the measures of the angles of a triangle?
 5.5.8.118: Perform each division. 17x2 5x x4 24x x2 1a8
 5.5.7.118: Add: 51214
 5.5.2.118: Simplify. Do not use negative exponents in the answer. Assume that ...
 5.5.6.118: Baseball. Find a polynomial that represents the volume within the b...
 5.5.1.118: Simplify each expression, if possible. a. (m5)7b. m5 m7 ( c. m5 m7
 5.5.5.118: What are the formulas for the area of a circle and the area of a tr...
 5.5.7.119: Multiply: 78 35
 5.5.2.119: Simplify. Do not use negative exponents in the answer. Assume that ...
 5.5.6.119: Is the product of a monomial and a monomial always a monomial? Expl...
 5.5.1.119: Simplify each expression, if possible. a. b3b2b4 b. (b3b2)4 c. b3b2b4
 5.5.5.119: Graph: y 12x 2(2
 5.5.7.120: Divide: 13 45
 5.5.2.120: Simplify. Do not use negative exponents in the answer. Assume that ...
 5.5.6.120: Explain this diagram. 5x 6)(7x 1)
 5.5.1.120: Simplify each expression, if possible. a. (2n n 4n) 5 b. 2n4 (2n n ...
 5.5.5.120: Graph: 2x 3y 9
 5.5.7.121: a. Find two binomials whose product is a binomial. b. Find two bino...
 5.5.2.121: Simplify. Do not use negative exponents in the answer. See Example ...
 5.5.6.121: Explain why the FOIL method cannot be used to find (3x 2)(4x2 x 10)
 5.5.1.121: Art History. Leonardo da Vincis drawing relating a human figure to ...
 5.5.5.121: What polynomial must be added to 2x2 x 3y so that thesum is 6x2 7x 8?
 5.5.7.122: A specialproduct rule can be used to find . Use this method to fin...
 5.5.2.122: Simplify. Do not use negative exponents in the answer. See Example ...
 5.5.6.122: Explain the error: x 3)(x 2) x2 6
 5.5.1.122: Packaging. A bowling ball fits tightly against all sides of a cardb...
 5.5.5.122: Is the sum of two trinomials always a trinomial? Explain why or why...
 5.5.2.123: Simplify. Do not use negative exponents in the answer. See Example ...
 5.5.6.123: Explain why the vertical form used in algebra to multiply 2x 3x 2 2...
 5.5.1.123: Childbirth. Mr. and Mrs. Emory Harrison, of Johnson City, Tennessee...
 5.5.2.124: Simplify. Do not use negative exponents in the answer. See Example ...
 5.5.6.124: Would the OLIF method give the same result as the FOIL method when ...
 5.5.1.124: Toys. A Super Ball is dropped from a height of 1 foot and always re...
 5.5.2.125: Sound Engineering Technician The faintest sound that the typical hu...
 5.5.6.125: What is the slope of a. Line 1? c. Line 3? b. Line 2? d. the axis?...
 5.5.1.125: Explain the mistake in the following work. a. 23 22 45 1,024 b. (5d...
 5.5.2.126: Electronics. The total resistance of a certain circuit is given by ...
 5.5.6.126: a. What is the intercept of Line 1? b. What is the intercept of L...
 5.5.1.126: Explain why we can simplify x4 x5, but cannot simplify x . 4 x5
 5.5.2.127: Explain how you would help a friend understand that 23 is not equal...
 5.5.6.127: a. Find each of the following products. i. ii. iii. b. Write a prod...
 5.5.1.127: Match each equation with its graph below. y 2x 1 y 11 1 1 2 3 2 23 ...
 5.5.2.128: Explain each error. a. 5x2y2 y25x2b. 42 116
 5.5.6.128: Solve: (y 1)(y 6) (y 3)(y 2) 8 x
 5.5.1.128: Match each equation with its graph below. y 3x 111 1 1 2 3 2 23 2 3...
 5.5.2.129: Find the slope of the line that passes through the given points. (1...
 5.5.1.129: Match each equation with its graph below. y 3 11 1 1 2 3 2 23 2 3 y...
 5.5.2.130: Find the slope of the line that passes through the given points. (1...
 5.5.1.130: Match each equation with its graph below. x 311 1 1 2 3 2 23 2 3 y ...
 5.5.1.131: Simplify each expression. The variables represent natural numbers. ...
 5.5.2.131: Find the slope of the line that passes through the given points. Wr...
 5.5.1.132: Evaluate the following expression without using a calculator: (108,...
 5.5.2.132: Find the slope of the line that passes through the given points. Fi...
 5.5.2.133: Simplify each expression. Do not use negative exponents in the answ...
 5.5.2.134: Write an expression equivalent to a2x3y73z5 b9 that involves only n...
Solutions for Chapter 5: Exponents and Polynomials
Full solutions for Elementary and Intermediate Algebra  5th Edition
ISBN: 9781111567682
Solutions for Chapter 5: Exponents and Polynomials
Get Full SolutionsChapter 5: Exponents and Polynomials includes 1078 full stepbystep solutions. Elementary and Intermediate Algebra was written by and is associated to the ISBN: 9781111567682. Since 1078 problems in chapter 5: Exponents and Polynomials have been answered, more than 37873 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Elementary and Intermediate Algebra, edition: 5.

Characteristic equation det(A  AI) = O.
The n roots are the eigenvalues of A.

Cross product u xv in R3:
Vector perpendicular to u and v, length Ilullllvlll sin el = area of parallelogram, u x v = "determinant" of [i j k; UI U2 U3; VI V2 V3].

Dot product = Inner product x T y = XI Y 1 + ... + Xn Yn.
Complex dot product is x T Y . Perpendicular vectors have x T y = O. (AB)ij = (row i of A)T(column j of B).

Graph G.
Set of n nodes connected pairwise by m edges. A complete graph has all n(n  1)/2 edges between nodes. A tree has only n  1 edges and no closed loops.

Hessenberg matrix H.
Triangular matrix with one extra nonzero adjacent diagonal.

Jordan form 1 = M 1 AM.
If A has s independent eigenvectors, its "generalized" eigenvector matrix M gives 1 = diag(lt, ... , 1s). The block his Akh +Nk where Nk has 1 's on diagonall. Each block has one eigenvalue Ak and one eigenvector.

Linear combination cv + d w or L C jV j.
Vector addition and scalar multiplication.

Linear transformation T.
Each vector V in the input space transforms to T (v) in the output space, and linearity requires T(cv + dw) = c T(v) + d T(w). Examples: Matrix multiplication A v, differentiation and integration in function space.

Lucas numbers
Ln = 2,J, 3, 4, ... satisfy Ln = L n l +Ln 2 = A1 +A~, with AI, A2 = (1 ± /5)/2 from the Fibonacci matrix U~]' Compare Lo = 2 with Fo = O.

Orthonormal vectors q 1 , ... , q n·
Dot products are q T q j = 0 if i =1= j and q T q i = 1. The matrix Q with these orthonormal columns has Q T Q = I. If m = n then Q T = Q 1 and q 1 ' ... , q n is an orthonormal basis for Rn : every v = L (v T q j )q j •

Pivot.
The diagonal entry (first nonzero) at the time when a row is used in elimination.

Positive definite matrix A.
Symmetric matrix with positive eigenvalues and positive pivots. Definition: x T Ax > 0 unless x = O. Then A = LDLT with diag(D» O.

Reflection matrix (Householder) Q = I 2uuT.
Unit vector u is reflected to Qu = u. All x intheplanemirroruTx = o have Qx = x. Notice QT = Q1 = Q.

Schwarz inequality
Iv·wl < IIvll IIwll.Then IvTAwl2 < (vT Av)(wT Aw) for pos def A.

Semidefinite matrix A.
(Positive) semidefinite: all x T Ax > 0, all A > 0; A = any RT R.

Spectral Theorem A = QAQT.
Real symmetric A has real A'S and orthonormal q's.

Spectrum of A = the set of eigenvalues {A I, ... , An}.
Spectral radius = max of IAi I.

Sum V + W of subs paces.
Space of all (v in V) + (w in W). Direct sum: V n W = to}.

Toeplitz matrix.
Constant down each diagonal = timeinvariant (shiftinvariant) filter.

Vector addition.
v + w = (VI + WI, ... , Vn + Wn ) = diagonal of parallelogram.