216 Answer Key
- (–2)^0 = 1
- 3
1
3
1
81
4
4
− ==
- ()
()
)−^2 =^12 =^1
16
- (.)
(.)
. 3 1
. 3
1
00. 9
2
2
− ==
12.^3
4
1 1
34
4
3
1
1
⎛
⎝⎜
⎛⎛
⎝⎝
⎞
⎠⎟
⎞⎞
⎠⎠
=
()^34
==
−
- ()−^13 =−^3125 =− 5
- (..^16 )).^12 //^1616 =^04.
15. ()−^14 =−^4121 not a real number
16.
16
625
16
625
2
5
14
⎛ 4
⎝⎜
⎛⎛
⎝⎝
⎞
⎠⎟
⎞⎞
⎠⎠ ==
4
- ()−^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
(5 + 7)6 – 10
= 12 ⋅ 6 – 10
= 72 − 10
= 62
(−7^2 )(6 − 8)
= (−7^2 )(−2)
= (−49)(−2)
= 98
(2 – 3)(−20)
= (–1)(–20)
= 20
3 10
5
()^2 −
−
= −−
−
6
10
5
= − 6 − (−2)
= − 6 + 2
= − 4
- 9
20 22
6
− 23
+
−
=− 9 42 −
6
23
=− 9 −
42
6
8
= 9 − 7 − 8
= − 6
- −2^2 ⋅ −3 − (15 − 4)^2
= −2^2 ⋅ −3 − (11)^2
= − 4 ⋅ − 3 − 121
= 12 − 121
= − 109 - 5(11 − 3 − 6⋅2)^2
= 5(11 − 3 − 12)^2
= 5(−4)^2
= 5(16)
= 80