Answer Key 215

15.^08
001

80

−

=−

16. − 458 + 0 = − 458


17. 4

1

2

3

3

5

5

17

⎛ 0

⎝⎜

⎛⎛

⎝⎝

⎞

⎠⎟

⎞⎞

⎠⎠

⎛−

⎝⎜

⎛⎛

⎝⎝

⎞

⎠⎟

⎞⎞

⎠⎠()

(^0) () 999 ⎛−
⎝⎜
⎛⎛
⎝⎝
⎞
⎠⎟
⎞⎞
⎠⎠

18. 
    

    0
    875
    = 0

    
    


19. 
    

    700
    0
    =undefined

    
    


20. 
    

    (−3)(1)(−1)(−5)(−2)(2)(−10) = − 600

    
    

Chapter 3 Roots and Radicals

Exercise 3

1. 
   

   12 and –12

   
   


2. 
   

5

(^7)
and −
5
7

3. 0.8 and −0.8


4. 20 and − 20


5. 16 = 4


6. − 9 not a real number
   7.^16
   25

4

5

=

8. 25 += 144144 169 = 13


9. −= 55 ⋅− − 55 =


10. zzz=z
    11.^3 −= 125 − 5

12.

64

125

4

5

(^3) =

13.^30. 027027 = 030
14.^3 yyyyy =y
15.^4625 = 5
16. −=^32 −
243

2

3

5

17.^6 − 64 not a real number
18.^700
19. 72 = 3636232 622 = 62
20.^2
3

23

33

6

9

1

9

6 1

9

6 1

3

= ==⋅= 6 ⋅= 6 6

Chapter 4 Exponentiation

Exercise 4

1. −4 ⋅ −4 ⋅ −4 ⋅ −4 ⋅ −4 = (−4)^5


2. 8 ⋅ 8 ⋅ 8 ⋅ 8 ⋅ 8 ⋅ 8 ⋅ 8 = 87


3. (−2)^7 = −128


4. (0.3)^4 = 0.0081
   5. ⎛−
   ⎝⎜

⎛⎛

⎝⎝

⎞

⎠⎟

⎞⎞

⎠⎠

(^3) =
4
9
16
2

6. 0^9 = 0


7. (1 + 1)^5 = 25 = 32