1. Multiplication Properties of Exponents
ALGEBRA 1 LESSON 8-3
pages 407–410  Exercises
1. 210 2.
3. 1
4. (0.99)3
5. 69
6. 1
7. c5
8. 3r 5
9. 10t –7
10. 56x 6
11. 3x4
22. 6  105
23. 6  109
24. 4  103
 10–5
 10–7
 1022
28. about  1013 mi
 1021 dollars
30. about 3.84  105 km
31. 9
12. –4.8n3
13. b3
14. –7
15. –45a4
16.
17. 45x 7y 6
18. 12a6c8
19. x10y2
20. a8b
21. – 25 58 y3 x
240m3 r
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2. Multiplication Properties of Exponents
ALGEBRA 1 LESSON 8-3
32. –4
33. –3
34. 11
35. –5
36. 5
37. –4
38. 0
39. 2, –3
40. 6x3 + 2x2
41. 4x4
42. 4y5 + 8y2
43. 4c4
44. –6x6
45. 12a7
46. x10
• 22
 10–8
 105
 10–5
 10–4
 10–8
 108
54. about 1.01 g
55. a. y1y7; y2y6; y3y5; y4y4
b. Answers may vary. Sample:
y–1y9; y–2y10; y–3y11; y–4y12
c. An infinite number; there are
an infinite number of integer
pairs with a sum of 8.
56. a. about 10–7 m
b. Longer; 1 < 4 < 7 so 1  10–7 <
4  10–7 < 7  10–7.
57. Answers may vary. Sample:
The property of multiplying powers
only applies when 2 terms have
the same base.
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3. Multiplication Properties of Exponents
ALGEBRA 1 LESSON 8-3
69. 8m5 + 56m3
70. –8x5 + 36x4
71. 81
72. 22n+3
73. 2x+y • 3x+2
74.
75. (t + 3)2
76. 25
77. a  10–9 km3
b m3
times
79. D
80. F
81. A
82. B
83. [2]  107
=  107
=  1010:
about 1.7  1010
diapers
[1] no work shown
OR answer not
written in
scientific notation
58. about 5.85  103 m
 1014
 108
 10–7
 10–12
63. about 6.7  1033 molecules
 1033 molecules  1
a + b
65. x3
66.
67. 5c3
68. 6a3 + 10a2 1 a
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4. Multiplication Properties of Exponents
ALGEBRA 1 LESSON 8-3
95.
96. 18; 34; 46
97. –1; 7; 13
98. 4; –12; –24
99. –6.8; –22.8; –34.8
84. [4] a. 4r 2
b. 4(5)2 = 4  25 = 100 in.2
c. 144 = 4r 2, 36 = r 2
so r = 6, d = 2r = 12, 12 in.
[3] radius found in (c) but
not the diameter
[2] only two questions
answered correctly
[1] only one question
 106
 10–3
 10–5
 106
,000,000
,000,000,000
93.
94.
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