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4
36. 4(y + 1)
4-1 Powers and Exponents
Write each expression using exponents.
14. 3 • 3 • 3 • 3 • 3
ANSWER: 5
ANSWER: 1024
Replace each _ with <, >, or = to make a true
statement.
6
2
54. 2 _ 8
ANSWER: =
3
16. (–14) • (–14) • (–14)
ANSWER: 3
(–14)
18. (–1.5)(–1.5)(–1.5)
ANSWER: 3
(–1.5)
20. 5 • p • p • p • q • q • q
ANSWER: 3 3
5p q
22. 8(c + 4)(c + 4)
ANSWER: 2
4
4
56. (–6) _ 6
ANSWER: =
3
60. Persevere with Problems Determine whether x is
always, sometimes, or never a positive number for x
≠ 0. Explain your reasoning.
ANSWER: 3
Sometimes; if x is positive, then x is positive. If x is
3
negative, then x is negative because the product of
two negative numbers is always positive and the
product of a positive number and a negative number
is always negative.
62. Identify Repeated Reasoning Use the pattern
8(c + 4)
0
24. (2x + 3y)(2x + 3y)
ANSWER: (2x + 3y)
below to predict the value of 5 . Explain your
reasoning.
4
5 = 625
3
2
5 = 125
2
5 = 25
26. A water park has a wave pool that contains about
6
3
1
5 =5
2
2 • 4 • 10 gallons of water. How many gallons of
water is this?
ANSWER: 409,600 gal
Evaluate each expression if x = –2, y = 3, and z
= 2.5.
3
30. xy
ANSWER: –54
ANSWER: 0
5 = 1; Sample answer: Each number is found by
0
dividing the previous number by 5. 5 ÷ 5 = 1, so 5 =
1.
3
G
H
J
4
36. 4(y + 1)
ANSWER: 1024
Replace each _ with <, >, or = to make a true
statement.
6
2
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54. 2 _Manual
ANSWER: =
2
66. Which of the following is equivalent to 4 • 5 ?
F 12 • 25
3 • 3 • 3 • 3 • 2 • 2 • 2 • 2 • 2
4 • 4 • 4 • 5 • 5
4 • 4 • 4 • 5 • 5 • 5
ANSWER: H
Name the property shown by each statement.
74. 87 + 0 = 0
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ANSWER: Additive Identity
J 4 • 4 • 4 • 5 • 5 • 5
4-1ANSWER: Powers and Exponents
H
Name the property shown by each statement.
74. 87 + 0 = 0
ANSWER: Additive Identity
76. 12 • 0 = 0
ANSWER: Multiplicative Property of Zero
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