Beginning Algebra, 11th Edition

Use the power rules for exponents to simplify each expression. Write each answer in expo- nential form. See Examples 4 – 6.

58. 59. 60.

61. 62. 63.

64.Concept Check Will ever equal? If so, when?

Simplify each expression. See Example 7.

68. 69. 70.

71. 72. 73.

74. 75. 76.

77. 78. 79.

80. 81. 82.

83.Concept Check A student simplified as .WHAT WENT WRONG? 84.Explain why is notequivalent to.

Find an expression that represents the area of each figure. See Example 8.( If necessary, refer to the formulas on the inside covers. The in the figures indicate 90°right angles.)

13 x^2 y^32413 # 42 x^8 y^12

110223 10006

a 1 zZ 02

6 x^3 y^9 z^5

b

4 a 1 cZ 02

5 a^2 b^5 c^6

b

3 1 - ts^6241 - t^3 s^523

12 w^2 x^3 y 221 x^4 y 25 13 x^4 y^2 z 231 yz^4251 - r^4 s 221 - r^2 s^325

15 r^5 t^6271 x^2231 x^3251 y^4251 y^325

1 - 6 p 241 - 6 p 2 1 - 13 q 231 - 13 q 2 16 x^2 y^325

a 12 x 2912 x 23 16 y 2516 y 28

8

5

b

4 # 83

a

9

8

b

3 a^3 # 92 4

b

5 #a^3 4

b

6 a

5

2

b

3 #a^5 2

b

2

1 - a 2 n an

a

x 2

b

3 a 1 tZ 02

r t

b

4 a 1 bZ 02

a b

b

3

a

1

3

b

5 a

1

2

b

3 a

12

7

b

3

a

9

5

b

8 81 qr 23 41 vw 25

1 - 5226 1 - 9428 1 - 8325 1 - 7527

17 r 23 111 x 24 15 xy 25 19 pq 26

14322 18326 1 t^4251 y^625

302 CHAPTER 5 Exponents and Polynomials

3 x^2

4 x^3

m^2

3 m^4

3 p^2

2 p^56 a 3

5 x^2

5 x^3 y 4 x^2 y^4

9 xy^3

87. 88.

Find an expression that represents the volume of each figure. (If necessary, refer to the formulas on the inside covers.)

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