Simplify. Assume that no variable equals 0.Refer to Example 5 on page 315. The average

Simplify. Assume that no variable equals 0. 1. (-3x2y3)(5x5y6)

Simplify. Assume that no variable equals 0.30y _ 4 -5y2

Simplify. Assume that no variable equals 0.-2a3b _6 18a2b2

Simplify. Assume that no variable equals 0.(2b)4

Simplify. Assume that no variable equals 0.(_1 w4z2 ) 3

Simplify. Assume that no variable equals 0.(_cd 3 ) -2

Simplify. Assume that no variable equals 0.(n3)3(n-3)3

Simplify. Assume that no variable equals 0.81p6q _ 5 (3p2q)2

Simplify. Assume that no variable equals 0.(-6x _6 3x3 ) -2

Simplify. Assume that no variable equals 0.Refer to Example 5 on page 315. The average distance from Earth to the Moon is about 3.84 108 meters. How long would it take a radio signal traveling at the speed of light to cover that distance?

Simplify. Assume that no variable equals 0. 11. (_1 3 a8b2 )(2a2b2)

Simplify. Assume that no variable equals 0.(5cd2)(-c4d)

Simplify. Assume that no variable equals 0.(7x3y-5)(4xy3)

Simplify. Assume that no variable equals 0.(-3b3c)(7b2c2)

Simplify. Assume that no variable equals 0.a2n _6 an5

Simplify. Assume that no variable equals 0.-y5z _ 7 y2z5

Simplify. Assume that no variable equals 0.-5x3y3z _ 4 20x3y7z4

Simplify. Assume that no variable equals 0.3a5b3c _3 9a3b7c

Simplify. Assume that no variable equals 0.(n4)4

Simplify. Assume that no variable equals 0.(z2)5

Simplify. Assume that no variable equals 0.(2x)4

Simplify. Assume that no variable equals 0.(-2c)3

Simplify. Assume that no variable equals 0.(a3b3)(ab)-2

Simplify. Assume that no variable equals 0.(-2r2s)3(3rs2)

Simplify. Assume that no variable equals 0.2c3d(3c2d5 _) 30c4d2

Simplify. Assume that no variable equals 0.-12m4n8 (m3n2 __) 36m3n

Use the diagram at the right to write the diameter of a typical flu virus in scientific notation. Then estimate the area of a typical flu virus. (Hint: Treat the virus as a circle.)

The population of Earth is about 6.445 109. The land surface area of Earth is 1.483 108 km2. What is the population density for the land surface area of Earth?

Simplify. Assume that no variable equals 0. 29. 2x2(6y3)(2x2y)

3a(5a2b)(6ab3)

30a-2b _-6 60a-6b-8

12x-3y-2z __-8 30x-6y-4z-1

( _x y-1 ) -2

_v w-2 ) -3

( 8a3b _2 16a2b3 ) 4

( 6x2y _ 4 3x4y3 ) 3

( 4x-3y _ 2 xy-5 ) -2

If 2r + 5 = 22r - 1, what is the value of r?

What value of r makes y28 = y3r y7 true?

In 2003, the population of Texas was about 2.21 107. The personal income for the state that year was about 6.43 1011 dollars. What was the average personal income?

Use the Internet or other source to find the masses of Earth and the Sun. About how many times as large as Earth is the Sun?

Write an example that illustrates a property of powers. Then use multiplication or division to explain why it is true.

Alejandra and Kyle both simplified 2a2 _b (-2ab3) -2 . Who is correct? Explain your reasoning. Alejandra 2a2 _b (-2ab3) -2 = (2a2 b)(-2ab3) 2 = (2a2 b)(-2)2 a2 (b3) 2 = (2a2 b)22 a2 b6 = 8a4b7 Kyle 2a2 _b (-2ab3)-2 = 2a2 _b (-2)2a(b3)-2 = 2a2 _b 4ab-6 = 2a2bb _6 4a = ab_ 7 2

Determine whether xy xz = xyz is sometimes, always, or never true. Explain your reasoning.

Determine which is greater, 10010 or 10100. Explain.

Use the information on page 312 to explain why scientific notation is useful in economics. Include the 2004 national debt of $7,379,100,000,000 and the U.S. population of 293,700,000, both written in words and in scientific notation, and an explanation of how to find the amount of debt per person with the result written in scientific notation and in standard notation.

Which expression is equal to (2x2) _ 3 12x4 ? A _x 2 C _1 2x2 B _2x 3 D 2x_2 3

Four students worked the same math problem. Each students work is shown below. Which is a completely correct solution? F Student F H Student H G Student G J Student J

Solve each inequality algebraically.x2 - 8x + 12 < 0

Solve each inequality algebraically.x2 + 2x - 86 -23

Solve each inequality algebraically.15x2 + 4x + 12 0

Graph each function.y = -2(x - 2)2 + 3

Graph each function.y = _1 3 (x + 5)2 - 1

Graph each function.y = _1 2 x2 + x + _3 2

Evaluate each determinant. 3 2 0 -2

Evaluate each determinant. 1 2 -3 0 -1 0 -3 4 2

Solve each system of equations.

Solve each system of equations.

Identify each function as S for step, C for constant, A for absolute value, or P for piecewise.

Identify each function as S for step, C for constant, A for absolute value, or P for piecewise.

Identify each function as S for step, C for constant, A for absolute value, or P for piecewise.

For Exercises 6264, refer to the graph at the right. (Lesson 2-5) 62. Make a scatter plot of the data, where the horizontal axis is the number of years since 1975.

Write a prediction equation.

Predict the median age of vehicles on the road in 2015.

Solve each equation.2x + 11 = 25

Solve each equation.-12 - 5x = 3

Use the Distributive Property to find each product.2(x + y)

Use the Distributive Property to find each product.3(x - z)

Use the Distributive Property to find each product.4(x + 2)

Use the Distributive Property to find each product.-2(3x - 5)

Use the Distributive Property to find each product.-5(x - 2y)

Use the Distributive Property to find each product.-3(-y + 5)