Get answer: In Exercises 87-106. perform the indicated computations. Write the answers

Evaluate each exponen#al expression in rerd5es 1-22. 52 2

Evaluate each exponen#al expression in rerd5es 1-22. 62 2

Evaluate each exponen#al expression in rerd5es 1-22. (- 2}'

Evaluate each exponen#al expression in rerd5es 1-22. (- 2)'

Evaluate each exponen#al expression in rerd5es 1-22. - 2'

Evaluate each exponen#al expression in rerd5es 1-22. - 2'

Evaluate each exponen#al expression in rerd5es 1-22. (- 3)0

Evaluate each exponen#al expression in rerd5es 1-22. (- 9)"

Evaluate each exponen#al expression in rerd5es 1-22. - 3

Evaluate each exponen#al expression in rerd5es 1-22. - </'

Evaluate each exponen#al expression in rerd5es 1-22. 4-.1

Evaluate each exponen#al expression in rerd5es 1-22. 2"6

Evaluate each exponen#al expression in rerd5es 1-22. 22 . 23

Evaluate each exponen#al expression in rerd5es 1-22. 33 32

Evaluate each exponen#al expression in rerd5es 1-22. (22 ) 3

Evaluate each exponen#al expression in rerd5es 1-22. (33 ) 2

Evaluate each exponen#al expression in rerd5es 1-22. 2' 2'

Evaluate each exponen#al expression in rerd5es 1-22. 3s 3'

Evaluate each exponen#al expression in rerd5es 1-22. 3 3 3

Evaluate each exponen#al expression in rerd5es 1-22. 2"3 2

Evaluate each exponen#al expression in rerd5es 1-22. 2' 3' 2'

Evaluate each exponen#al expression in rerd5es 1-22. 3' 2' -z;

Simplify each exponential expression in Exercises 23-64. x- 2y

Simplify each exponential expression in Exercises 23-64. xy-3

Simplify each exponential expression in Exercises 23-64. xy'

Simplify each exponential expression in Exercises 23-64. \'7)'0

Simplify each exponential expression in Exercises 23-64. x' x1

Simplify each exponential expression in Exercises 23-64. x" .. r'

Simplify each exponential expression in Exercises 23-64. x-5 x 10

Simplify each exponential expression in Exercises 23-64. x-6 x11

Simplify each exponential expression in Exercises 23-64. (.r'J'

Simplify each exponential expression in Exercises 23-64. x 11 ) 5

Simplify each exponential expression in Exercises 23-64. (,r') 3

Simplify each exponential expression in Exercises 23-64. (.r'J'

Simplify each exponential expression in Exercises 23-64. " x"' ~

Simplify each exponential expression in Exercises 23-64. x"' ~ To x1 X

Simplify each exponential expression in Exercises 23-64. xu x"' -:; -:;o X

Simplify each exponential expression in Exercises 23-64. x"' -:; . -:;o X X

Simplify each exponential expression in Exercises 23-64. (&r')2

Simplify each exponential expression in Exercises 23-64. (6x'f 2

Simplify each exponential expression in Exercises 23-64. ;)'

Simplify each exponential expression in Exercises 23-64. -:v 6)

Simplify each exponential expression in Exercises 23-64. 1-1r-yr

Simplify each exponential expression in Exercises 23-64. (- 1r'y')3

Simplify each exponential expression in Exercises 23-64. (3x')(2r7)

Simplify each exponential expression in Exercises 23-64. (11 .r')(9x12)

Simplify each exponential expression in Exercises 23-64. (- 9.r1 y)(- 2r'y')

Simplify each exponential expression in Exercises 23-64. (- 5x'y)(- 6x7 y 11)

Simplify each exponential expression in Exercises 23-64. 8x'" 2Qrl4 -- 2r'

Simplify each exponential expression in Exercises 23-64. 2Qrl4 -- 2r' . 10

Simplify each exponential expression in Exercises 23-64. 25a13b. 3Sa"b' St. --::-;;;> -- - )0

Simplify each exponential expression in Exercises 23-64. 3Sa"b' St. --::-;;;> . -- - )0 - 7a7b'

Simplify each exponential expression in Exercises 23-64. 14b7 7b"

Simplify each exponential expression in Exercises 23-64. 20b1 " l0b20

Simplify each exponential expression in Exercises 23-64. (4x'f'

Simplify each exponential expression in Exercises 23-64. (10x'r'

Simplify each exponential expression in Exercises 23-64. 24xJ\ls 10x'y9 '2. ,'. r r

Simplify each exponential expression in Exercises 23-64. 10x'y9 30xl2y-J

Simplify each exponential expression in Exercises 23-64. e'

Simplify each exponential expression in Exercises 23-64. e;T

Simplify each exponential expression in Exercises 23-64. -15a"b2 )' 61' 5a10b .. J

Simplify each exponential expression in Exercises 23-64. - 30a"b')' l0a11b- 2

Simplify each exponential expression in Exercises 23-64. 3a b2 12 3-4

Simplify each exponential expression in Exercises 23-64. 4a b3 12ab-5

In Exerdses 65-76. write each number in decimal notation without the rtse of exponents. 3.8 X 102

In Exerdses 65-76. write each number in decimal notation without the rtse of exponents. 9.2 X 10'

In Exerdses 65-76. write each number in decimal notation without the rtse of exponents. 6 x w-

In Exerdses 65-76. write each number in decimal notation without the rtse of exponents. 7 x w-s

In Exerdses 65-76. write each number in decimal notation without the rtse of exponents. 7.16 X 106

In Exerdses 65-76. write each number in decimal notation without the rtse of exponents. - 8.17 X !06

In Exerdses 65-76. write each number in decimal notation without the rtse of exponents. 7.9 X IQI

In Exerdses 65-76. write each number in decimal notation without the rtse of exponents. 6.8 x w-

In Exerdses 65-76. write each number in decimal notation without the rtse of exponents. - 4.15 x 10'

In Exerdses 65-76. write each number in decimal notation without the rtse of exponents. 3.14 x 10-'

In Exerdses 65-76. write each number in decimal notation without the rtse of exponents. 6.00001 X 1010

In Exerdses 65-76. write each number in decimal notation without the rtse of exponents. - 7.00001 X 10111

In Exercises 77-86. write each number in scientific notation. 32,000

In Exercises 77-86. write each number in scientific notation. 64,000

In Exercises 77-86. write each number in scientific notation. 638,000.000.000,000.000

In Exercises 77-86. write each number in scientific notation. 579,000.000.000,000,000

In Exercises 77-86. write each number in scientific notation. -5716

In Exercises 77-86. write each number in scientific notation. - 3829

In Exercises 77-86. write each number in scientific notation. 0.0027

In Exercises 77-86. write each number in scientific notation. 0.0083

In Exercises 77-86. write each number in scientific notation. - 0.00000000504

In Exercises 77-86. write each number in scientific notation. - 0.00000000405

In Exercises 87-106. perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal fador in your sciemific notation answer to two decimal places. (3 X 10")(2.1 X 1o')

In Exercises 87-106. perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal fador in your sciemific notation answer to two decimal places. (2 X 10")(4.1 X !o')

In Exercises 87-106. perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal fador in your sciemific notation answer to two decimal places. (1.6 X 1015)(4 X 10 11)

In Exercises 87-106. perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal fador in your sciemific notation answer to two decimal places. (1.4 X 10")(3 X 10"11)

In Exercises 87-106. perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal fador in your sciemific notation answer to two decimal places. (6.1 X l<r")(2 X lo-')

In Exercises 87-106. perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal fador in your sciemific notation answer to two decimal places. (5.1 X 10"8)(3 X IQ-')

In Exercises 87-106. perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal fador in your sciemific notation answer to two decimal places. (4.3 X lo")(6.2 X 104)

In Exercises 87-106. perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal fador in your sciemific notation answer to two decimal places. (8.2 X 10')(4.6 X 10")

In Exercises 87-106. perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal fador in your sciemific notation answer to two decimal places. 8.4 X Ia" o. 4 X 105

In Exercises 87-106. perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal fador in your sciemific notation answer to two decimal places. 6.9 X 1o" . 3 X I(}'

In Exercises 87-106. perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal fador in your sciemific notation answer to two decimal places. 3.6 X !0" 9 X 10-2

In Exercises 87-106. perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal fador in your sciemific notation answer to two decimal places. 1.2 X 10' 2 X 10"2

In Exercises 87-106. perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal fador in your sciemific notation answer to two decimal places. 4.8 X 1Q 2 2.4 X 106

In Exercises 87-106. perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal fador in your sciemific notation answer to two decimal places. 7.5 X 10"2 1 2.5 X 106

In Exercises 87-106. perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal fador in your sciemific notation answer to two decimal places. 2.4 x 101 8 ,.... 4. X lv

In Exercises 87-106. perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal fador in your sciemific notation answer to two decimal places. 1.5 X 10"2 1 3 X 10-6

In Exercises 87-106. perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal fador in your sciemific notation answer to two decimal places. 480,000,000.000 ' 0.00012

In Exercises 87-106. perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal fador in your sciemific notation answer to two decimal places. 282,000,000,000 1 . 0.00141

In Exercises 87-106. perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal fador in your sciemific notation answer to two decimal places. 0.00072 X 0.003 0.00024

In Exercises 87-106. perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal fador in your sciemific notation answer to two decimal places. 66.000 X 0.001 1 . 0.003 X 0.002

In Exercises 107-114. simplify each exponential expression. Assume that variables represemnonzero real twmbers. (x 1y)"3 (xy 'r' J

In Exercises 107-114. simplify each exponential expression. Assume that variables represemnonzero real twmbers. xy 'r' . . (x'>'') (.,-'yr >

In Exercises 107-114. simplify each exponential expression. Assume that variables represemnonzero real twmbers. (2x'yz ... )(2x)"'

In Exercises 107-114. simplify each exponential expression. Assume that variables represemnonzero real twmbers. (3x'yz-1)(3xt '

In Exercises 107-114. simplify each exponential expression. Assume that variables represemnonzero real twmbers. X y

In Exercises 107-114. simplify each exponential expression. Assume that variables represemnonzero real twmbers. xvz )' .... . ,_ .. X y

In Exercises 107-114. simplify each exponential expression. Assume that variables represemnonzero real twmbers. (1 x-'y- 1 ((2r ... y3) _,(16x-'y')" (2r-3y-')2

In Exercises 107-114. simplify each exponential expression. Assume that variables represemnonzero real twmbers. (1 .r-3y l r'(2r-"y'r'(9x'r'>" (2t..Jy-)'

The bar graph shows tire total amount Americans paid in federal taxes. in trillions of dollars, and the US. population, in millions, from 2007 through 2010. Exercises 115- 1 16are based on the numbers displayed by the graph. $3.00 $2.50 $2.00 $1.50 $1.00 $0.50 Federal Taxes and the United States Population FederaiTaxesCoUected Population 2.57 303 2.52 306 308 309 2.20 2.17 2fXJI : :::. 2008 _ o g ~ Year 2009 2010 .Q Sources: lntemaJ eve mt~ vice and U.S. Ce.ns.us Bureau a. In 2010, the United Sta tes government collected S2.17 trillion in taxes. Express this number in sc.ienrific notation. b. In 2010. the population o f the United Sta tes was appr. mately 309 million. Express this number in scie~fic notation. c. Use r scientific notation answers from parts (a) and 1!\) to answer this question: If the total 2010 tax colle~ions were evenly divided among all Americans, how"!uch would each c-itizen pay'! Express the answer in ~mal notation, rounded to Lhe nearest dollar.

The bar graph shows tire total amount Americans paid in federal taxes. in trillions of dollars, and the US. population, in millions, from 2007 through 2010. Exercises 115- 1 16are based on the numbers displayed by the graph. $3.00 $2.50 $2.00 $1.50 $1.00 $0.50 Federal Taxes and the United States Population FederaiTaxesCoUected Population 2.57 303 2.52 306 308 309 2.20 2.17 2fXJI : :::. 2008 _ o g ~ Year 2009 2010 .Q Sources: lntemaJ eve mt~ vice and U.S. Ce.ns.us Bureau a. In 2009, the United States government collected S2.20 trillion in taxes. Express this number in scientific notation. b. In 2009. the population of the United Sta tes was approximately 308 million. Express this number in scientific notation. c. Use your sc-ientific notation answers from parts (a} and (b) to answer this question: If the total 2009 tax collections were evenly divided among all Americans, how much would each citizen pay'! Express the answer in decimal notation, rounded to the nearest dollar.

In the dramatic. arts, ours is the era of the movies. As individuals and as a nation, we've grown up with them. Our images of Jove, va~. f amily, coumr_y- even of things that terrify us- oiVe much to what we've seen Oti screen. The bar graph at the top of I he next column quantifies our lot'e for movies by showitJg the number of tickets sold, in miJ/ions, and the average price per ticket for five selected years. Exercises 117- 118 are based on tl" numbers displayed by the graph. United States Film Admissions and Admission Charges lictets Sold Price per licket Year Usc scientific notation to compute the amount of money that Lhe motion picture indtt<itry made from box-office receipts in 2010. Express the answer in scientific notation.

In the dramatic. arts, ours is the era of the movies. As individuals and as a nation, we've grown up with them. Our images of Jove, va~. f amily, coumr_y- even of things that terrify us- oiVe much to what we've seen Oti screen. The bar graph at the top of I he next column quantifies our lot'e for movies by showitJg the number of tickets sold, in miJ/ions, and the average price per ticket for five selected years. Exercises 117- 118 are based on tl" numbers displayed by the graph. United States Film Admissions and Admission Charges lictets Sold Price per licket Year Usc sc.ienrific notation to compute the amount of money that the mo n picture industry made from box office receipts in 2005. E~ ess the answer in scientific nota tion .

The mass o f one oxygen molecule is 5.3 x 10-n gram. Find the ma~f20.000 molecules of oxygen. Express the answer in sc.ien$Tlc notation.

The mass of one hydrogen atom is 1.67 X 10- " gram. Find the mas~ o f 80,000 hydrogen a toms. Express the answer in scientifi(.notation.

There a re approximately 3.2 x 107 seconds in a year. According to the United States Department of AgricultllTe, Americans consume 127 chickens per second. How many chickens are eaten pe r year in the United States? Express the answer in scientific notation.

Convert 365 days (one year) to hours, to minutes,and,finally, to seconds, to determine how many seconds there are in a ye.ar. Express the answer in sc-ientific notation.

Describe what it means to raise a number to a power. In your description, include a discussion of the difference between - 52 and (- 5)2 .

Explain the product rule for exponents. Use 23 2s in your explanation.

Explain the power rule for exponents. Use (32)"t in your explanation.

Explain the quotient rule for exponents. Use 51 m your explanation.

Why is (- 3x2)(2A-') not simplified? What must be done to simplify the exp ression?

How do you know if a number is written in scientific notation?

Explain how to convert from scientific to decimal notation and give an example.

Explain how to convert from decimal to scientific notation and give an example.

Refer to Lhe Blitzer Bonus on page 32. Use scientific notation to verify any three of the bulleted items on ways to spend S! trillion.

In Exercises 132-135, determine whether each statement makes sense or does not make sense, and explain your reasoning. There are many exp~ enti al expressions that are equal to 36x"-such as (6x6f, (6.\J)(6x9), 36(x3 }',and 6'(x2) 6

In Exercises 132-135, determine whether each statement makes sense or does not make sense, and explain your reasoning. If s-2 is raised to the third power, the result is a number bet ween 0 and 1.

In Exercises 132-135, determine whether each statement makes sense or does not make sense, and explain your reasoning. The population of Colorado is a pproximate ly 4.6 X 1012.

In Exercises 132-135, determine whether each statement makes sense or does not make sense, and explain your reasoning. I just finished reading a book that contained approximately 1.04 X 105 word~

In Exerdses 136-143, determine k'hether e.acll statement is true or false. If thl! statement is false, make the tJecessary clwnge(s) to produce a true statement. 4-2 < 4-J

In Exerdses 136-143, determine k'hether e.acll statement is true or false. If thl! statement is false, make the tJecessary clwnge(s) to produce a true statement. s-' > 2-s

In Exerdses 136-143, determine k'hether e.acll statement is true or false. If thl! statement is false, make the tJecessary clwnge(s) to produce a true statement. (- 2)' - 2-.J

In Exerdses 136-143, determine k'hether e.acll statement is true or false. If thl! statement is false, make the tJecessary clwnge(s) to produce a true statement. 52 5-2 > 25 <'

In Exerdses 136-143, determine k'hether e.acll statement is true or false. If thl! statement is false, make the tJecessary clwnge(s) to produce a true statement. 534.7 - 5.347 X 1 o'

In Exerdses 136-143, determine k'hether e.acll statement is true or false. If thl! statement is false, make the tJecessary clwnge(s) to produce a true statement. 8 X lo'0 5 - 2 X to'-' 4 x w

In Exerdses 136-143, determine k'hether e.acll statement is true or false. If thl! statement is false, make the tJecessary clwnge(s) to produce a true statement. (7 X to') + (2 X Hr3) - 9 X 102

In Exerdses 136-143, determine k'hether e.acll statement is true or false. If thl! statement is false, make the tJecessary clwnge(s) to produce a true statement. (4 X to') + (3 X 102 ) - 4.3 X to'

The mad Dr. Frankenste in has gathered enough bits and pieces (so to speak) for 2- 1 + r 2 of his creature -to-be. Write a fraction that represents the amount of his creature that must still be obtained.

If 1Y' - MN,bc - M, and bD - N. what is the relationship among A, C, and D?

Our hearts beat approximately 70 times per minute. Express in scientific notation how many limes the heart beats over a lifetime of 80 years. Round the decimal factor in your scientific notation answer to two decimal places.

Putting l'iumbers into Perspective~ A large number can be put into perspective by comparing it with another number. For example, we put the $15.2trillion nationaJ debt (Example 12) and the $2.17 trillion the government collected in taxes (Exercise 11 5) by comparing these numbers to the number of U.S. citizens. For this project, eac.h group member should consult an almanac, a newspaper, or the Internet to find a number greater than one million. Explain to other members of the group the context in which the large number is used. Express the number in scientific notation. Then put the number into perspective by comparing it with another number.

Exercises 148-150 wilf help you. prepare for the mateda/ covered in the next .section. a. Find v'i6 v'4. b. Find '\(i"6:4. r. Based o n your answers to parts (a) and (b), what ran you conclude?

Exercises 148-150 wilf help you. prepare for the mateda/ covered in the next .section. a. Usc a ca lculator to approximate v'300 to two decimal pl ace~ b. Use a calculator to approximate 10\.1'3 to two decimal places. r. Based o n your answers to parts (a) and (b), what ran you conclude?

Exercises 148-150 wilf help you. prepare for the mateda/ covered in the next .section. a. Simplify: 2tx + lOx. b. Simplify: 21\12 + 10\/2.