216 Answer Key

8. (–2)^0 = 1


9. 3

1

3

1

81

4

4

− ==

10. ()
    ()

)−^2 =^12 =^1

16

11. (.)
    (.)
    . 3 1
    . 3

1

00. 9

2

2

− ==

12.^3
4

1 1

34

4

3

1

1

⎛

⎝⎜

⎛⎛

⎝⎝

⎞

⎠⎟

⎞⎞

⎠⎠

=

()^34

==

−

13. ()−^13 =−^3125 =− 5


14. (..^16 )).^12 //^1616 =^04.
    15. ()−^14 =−^4121 not a real number

16.

16

625

16

625

2

5

14

⎛ 4

⎝⎜

⎛⎛

⎝⎝

⎞

⎠⎟

⎞⎞

⎠⎠ ==

4

17. ()−^23 =⎡⎣()−^13 ⎦⎤⎤⎤ =[]− ] = 9

(^22)

18.^16
625

16

625

2

5

8

125

34

4

(^33)
⎛
⎝⎜
⎛⎛
⎝⎝
⎞
⎠⎟
⎞⎞
⎠⎠

⎛
⎝⎜
⎛⎛
⎝⎝
⎞
⎠⎟
⎞⎞
⎠⎠
=⎛
⎝⎜
⎛⎛
⎝⎝
⎞
⎠⎟
⎞⎞
⎠⎠

19.^1
5

5

1

125

1

3 125

3

− == =

20.^1
1

16

1

4 16

4

() 2

=()

− 2

− ==

Chapter 5 Order of Operations

Exercise 5

1. 
   

   (5 + 7)6 – 10
   = 12 ⋅ 6 – 10
   = 72 − 10
   = 62

   
   


2. 
   

   (−7^2 )(6 − 8)
   = (−7^2 )(−2)
   = (−49)(−2)
   = 98

   
   


3. 
   

   (2 – 3)(−20)
   = (–1)(–20)
   = 20

   
   


4. 
   

   3 10
   5

   
   

()^2 −

−

= −−

−

6

10

5

= − 6 − (−2)

= − 6 + 2

= − 4

5. 9

20 22

6

− 23

+

−

=− 9 42 −

6

23

=− 9 −

42

6

8

= 9 − 7 − 8

= − 6

6. −2^2 ⋅ −3 − (15 − 4)^2
   = −2^2 ⋅ −3 − (11)^2
   = − 4 ⋅ − 3 − 121
   = 12 − 121
   = − 109


7. 5(11 − 3 − 6⋅2)^2
   = 5(11 − 3 − 12)^2
   = 5(−4)^2
   = 5(16)
   = 80