1. More Multiplication Properties of Exponents
ALGEBRA 1 LESSON 8-4
pages 413–416  Exercises
1. c10
2. c10
3. n32
4. q100
5. c19
6. d15 7.
8. x 7
9. 625y4 m5 a2
12.
13. 36y4
14. 81n24
15.
16. 1
17. x16
18. 8x5y3
19. 1
20.
21. 9a6b8
22.
 1011 1
12g 4
8y 12
c 18
a32
32c 26
24. 9  1010
25. 8  10–30
26. 8  10–9
 109
 1025
 10–18
 10–11
 10–10 m3
32. 3
33. –4
34. 4
35. –3
36. 0
t 14
8-4

2. More Multiplication Properties of Exponents
ALGEBRA 1 LESSON 8-4
37. 8
38. –2
39. 0
40. –3
41. The student who wrote
x5 + x5 = 2x5 is correct;
x5 times x5 is x10.
42. 1 x3
44. b17
45. 30x2
46.
47. –8a9b6
48. 9
 104
50. –256x4y5
51. a. 24x2; 96x2
b. 4 times
c. 8x3; 64x3
d. 8 times
52. (mn)4
53. (ab)5
54. (7xyz)2
55. (2xy)2
56. Check students’ work.
57. a. 106
b. 109
c. 109
d. 1018
58. a. 223 bits
b. 230 bytes; 233 bits
59. a. about 5.15  1014 m2
b. about 3.60  1014 m2
c. about 1.37  1018 m3
60. C
61. Add exponents for
products of powers as
in a2a4. Multiply exponents
for powers of powers,
as in (a2)4.
0.16
x 4
8-4

3. More Multiplication Properties of Exponents
ALGEBRA 1 LESSON 8-4
62. 3
63. 6
64. 12
65. 3
66. 4
67. –5
68. x12; x81; no
69. B
70. I
71. C
72. H
73. [2] No, (x2 + 3y)2 = x4 + 9y2;
for x = 2, y = 4: (x2 + 3y)2
= (4 + 12)2 = 162 = 256;
x4 + 9y2 = (4)2 =
• 16 = 160
(OR equivalent explanation)
[1] appropriate conclusion
but no work shown
74.
75. a8b3
76. 54m5n4
77. –4t5
78. (1, 8) /
79. (4 , 1 )
80. (7, 26)
81. (–9, –5)
82. –
83. 6
84. –
85. – 2 3 1 3 3 4 3 2 9 11 b2 c6
8-4