1. Zero and Negative Exponents
ALGEBRA 1 LESSON 8-1
pages 397–399  Exercises
1. –1 2. 3.
4. – 5.
6. – 7.
8. –
9. 1
10.
22.
23.
24.
25.
26.
27. 4c3
28.
29.
30.
31.
32.
33.
34.
35. –
36. 1
37.
38.
39.
40.
41. –
42.
43. –27 1
a 4 1 25
11. –
12. –
13. –2
14. 3; 4
15. 0; –3
16. –5
17. 3a
18.
19. x 7
20. c
21. 1 64 3
x 2 y 1 9 1 16 1 64 7a
3b 2 w 1 9 1 25 1
x 5 y 7 1 25 3 25
y 7
x 5 1 16 1
100 1 81
7st 3 5 25 81 1 64 5
x 4 6
ac 3 81 25 1 12
x 2
8z 7 25 27
y 7
t 11 1 25 1 78 1
25p 14
m 2t 5
8-1

2. Zero and Negative Exponents
ALGEBRA 1 LESSON 8-1
44. –
45. a. $20.48; $.32
b. No; the value of the
allowance rapidly
becomes very great.
46. neg.
47. pos.
48. pos.
49. neg.
50. neg.
51. 10–1
52. 10–2
53. 10–3 27
400
54. 10–4
55. 10–5
61. a. 5–2, 5–1, 50, 51, 52
b. 54 c.
62. In –30, 3 is raised to the
zero power, and then the
opposite is determined. In
(–3)0, the number –3 is
raised to the zero power.
63. 45
64. 6
65. 40
66.
67. –
68. 16
69.
70.
71.
72. –1 1 4 1
243 2 9
a n 1 1 8 1 16
8-1

3. Zero and Negative Exponents
ALGEBRA 1 LESSON 8-1
73.
74. a. 1
b. They are reciprocals for a = 0;
= a –n and = = an.
75. A, B, D
76. Check students’ work.
77. No; 3x–2 • 3x2 = 9 • x0 = 9.
The product of reciprocals
should be 1.
78. The student multiplied b by zero
instead of raising b to the zero
power, which would equal 1.
79. a. 1 correct, ; 2 correct, ;
3 correct, ; 4 correct,
b. 0 or 1
80. about 4 students; about 16 students;
about 29 students
81. 8 – 48m2
82. 21
83.
85.
86. –7
87. 1 and –1 / 1
a n 1
a –n 1
a n
141
m 2 4
nr 7y 2 1 4
8-1

4. Zero and Negative Exponents
ALGEBRA 1 LESSON 8-1
88.
89.
90.
91. 1
94. 2 3
95.
96.
97. a-b.
c. Answers may vary slightly.
Sample: y = 53x – 4328
d. Answers may vary slightly.
Sample: $1,237,000,000
98. y = –x + 4
99. y = 5x – 2
100. y = x – 3
101. y = – x – 17
102. y = x +
103. y = 1.25x – 3.79 1 9 1 64 2 5 3 11 5 9 1 3
8-1