1. Division Properties of Exponents
ALGEBRA 1 LESSON 8-5
pages 420–423  Exercises
1. 7
2. 1
3. –3
4. 0 5.
6. 4 7.
8. m3 9.
10. y
11.
20. 1  10–12 s
21.
22.
23.
24.
25.
26.
27.
28.
29.
t 11
27m4
12.
13. 5  107
14. 3  10–5
15. 6  102
 103
 10–6
18. 7  10–3
19. a  1011 h;
2.65  108 people
b. about 1457 h
c. about 4.0 h 9 25 1 x3
32x 5
y 5
81a 4
16b 4 1 4 64
125 1 c3 1 9 36
n12 s2 2
8p 3
125 3 2 1
cd 2
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2. Division Properties of Exponents
ALGEBRA 1 LESSON 8-5
30.
31.
32. –
33.
34.
35.
36. 1
simplifies to 125.
38. y–2 contains a negative
exponent.
39. Each term should be raised
to the 4th power and simplified. 9 4
40. x0 simplifies to 1.
41. The base d should
appear only once.
42.
43.
44.
45. a6
46.
47.
48.
49. 49 9 4 27 8 9 8
x 8 25 1
16m12 8 n3 1 25 1
c12
t 6 27 1
n28 9
4k 10
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3. Division Properties of Exponents
ALGEBRA 1 LESSON 8-5
50. a  107 households;
5.44  1011 local calls;
9.7  1010 long-distance calls
b. about 5585 local calls
c. about 996 long-distance calls
51. a. Answers may vary.
Sample: can be written as
c4–6 or c–2; c–2 = .
b. Check students’ work.
52.
53.
54.
55. 5
56.
57. 20,736
58.
59.
60. a. about 0.02%
b. about 99.98%
61. Answers may vary. Sample:
You can raise the numerator
and denominator to the power
and then simplify or simplify
and then raise to the power.
r 5
p 25q5
y 6 81
y 6 81
3b 5 5a
c 4
c 6 1
c 2
a 4
4b 10
a 5c5
b 3 3 4
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4. Division Properties of Exponents
ALGEBRA 1 LESSON 8-5
62. a. about $12,988
b. about $20,733
c. about 60%
63. a. The student treated as
b. 125
64. 5
65. 7
66. d 3
72. a. about 1.2  106 s
b. about 13.9 days
73. a-b. Check students’ work.
c. No, the power may remain
the same or be one less.
74. def. of neg. exponent
75. dividing powers with the same base,
def. of neg. exponent
76. raising a quotient to a power
77. mult. powers with the same base
78. raising a power to a power, dividing
powers with the same base, def. of
neg. exponents 7m 5n 5c 6
54 5 5 3 5 m n 3x 2y 2
13m
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5. Division Properties of Exponents
ALGEBRA 1 LESSON 8-5
79. n2
80. n4x
81. x4
82.
83. a.
b. The closer the ratio is to 1,
the more circular the orbit.
c. Pluto, Venus
84. B
85. G
86. D
87. B
88. C
89. B 1
n 2
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6. Division Properties of Exponents
ALGEBRA 1 LESSON 8-5
90. [4] (7.43  108) ÷ (2.5  104) =  104,
29,720 h; • • years
about 3.4 years (OR equivalent explanation)
[3] appropriate methods but one computational error
[2] error in conversion factor used or a missing conversion factor
[1] correct number of hours and years but no work shown
91. 27y6
92.
93.
94.
95.
96. 9r6
29,720 hours 1
1 day
24 hours
1 year
365 days
97. n4
98. 1
99. (0, 0)
100. (–4, –7) 8
m 21
t 20
r 8
2s 6 27 1
8c 2
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7. Division Properties of Exponents
ALGEBRA 1 LESSON 8-5
101. (3, 5)
102. no solution
103.
8-5