MSM07G8_RESBK_Ch04_003-010.pe
1/29/06
11:44 AM
Page 5
Name
LESSON
Date
Class
Practice C
4-1 Exponents
Evaluate.
1. (10)2
100
5. (2)5
2. 73
3. (14)2
343
196
6. (5)4
32
7. 35
625
4. (16)2
256
8. (4)4
243
256
Evaluate each expression for the given values of the variables.
9. n3 5p for n 4 and p 3
10. x2 y3 for x 5 and y 3
2
49
11. ab 6c for a 3, b 4, and c 2
12. s4 (t r)5 for s 2, t 7, and r 8
117
15
13. yx xy xy for x 2 and y 3
14. 5x9 (y z) for x 1, y 10,
and z 6
9
11
15. xz yx for x 2, y 4, and z 5
16. ac bc for a 12, b 6, and c 2
12
2
17. Find the area of a circle if the radius is 20 in. (Hint: A ␲r 2.)
Use 3.14 for ␲.
1256 in2
18. If the area of a regular pentagon is A ⫽ 1.720a 2, in which a is
one of the sides. Find the area of a regular pentagon with a
side that measures 50 cm.
4300 cm2
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MSM07G8_RESBK_Ch04_68-84.pe
1/30/06
11:49 AM
Page 68
Practice B
4-1 Exponents
Practice A
4-1 Exponents
LESSON
LESSON
Write in exponential form.
Name the base and exponent for each power.
1. 153
2. 810
15
base
exponent
3. (3)2
8
base
3
10
exponent
1. 6 • 6 • 6 • 6 • 6 • 6
2. 7 • 7 • 7 • 7
66
–3
base
3. (8) • (8) • (8) • (8)
2
exponent
74
4. 5 • 5 • 5 • b • b • b • b
(8)4
53 b 4
Write using exponents.
4. 2 • 2 • 2
5. 3 • 3 • 3 • 3 • 3 • 3
23
6. (1) • (1) • (1) • (1)
36
7. (5) • (5)
5. 102
(1)4
8. a • a • a • a • a
(5)2
Evaluate.
100
9. (2) • (2) • (2) • (2)
a5
6. (6)2
36
9. (5)3
(2)4
10. 32
11. 24
12. 43
9
16
14. (2)3
64
15. (1)5
8
16. 52
1
32
25
2
18. y 1
19. x 1
28
216
18. 4x2 y3 for x 5 and y 2
92
19. mp q2 for m 5, p 2, and q 4
21. 2x y
13
19
16. 63
81
17. n3 5 for n 4
2
20. x y
3
625
59
4
64
15. (3)4
Evaluate each expression for the given values of the variables.
81
Evaluate each expression for x –2 and y 3.
3
12. (4)3
81
14. 54
1
17. (3)4
49
11. (9)2
144
13. 25
13. (1)4
8. (7)2
64
10. 122
125
Evaluate.
7. 82
20. a4 2(b c2) for a 2, b 4, and
c 1
41
22. Find the area of square with a side of 6 m. (Hint: Area s 2.)
22
21. Write an expression for five times a number used as a factor
three times.
36 m 2
5x 3
23. Write an expression for 4 as a factor 5 times.
45
22. Find the volume of a regular cube if the length of a side is
10 cm. (Hint: V ⫽ l 3.)
1000 cm3
3
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4
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Reteach
4-1 Exponents
Practice C
4-1 Exponents
LESSON
LESSON
Evaluate.
exponent
base
1. (10)2
2. 73
3. (14)2
100
343
5
196
4
5. (2)
5
6. (5)
32
4. (16)2
3 used as a factor 5 times
Complete to write each expression using an exponent.
State the power.
256
1. 5 • 5 • 5 • 5 5
3. (2)3 (2)(2)(2) 2
4
4. 10 12. s4 (t r)5 for s 2, t 7, and r 8
117
10 • 10 • 10 • 10 625
32
7. 5 • 3 5 • 3 • 3 • 3 135
6 • 6 • 6 216
8. (3 • 2)3 63 17. Find the area of a circle if the radius is 20 in. (Hint: A ␲r 2.)
Use 3.14 for ␲.
9. (4(2)) ( 8 )3 ( 8 )( 8 )( 8 ) 512
3
2
2
2
11. 100 2(3 • 4)
10. 25 3(4 • 3 )
1256 in
18. If the area of a regular pentagon is A ⫽ 1.720a 2, in which a is
one of the sides. Find the area of a regular pentagon with a
side that measures 50 cm.
25 3(4 •
25 3(
4300 cm2
25 Copyright © by Holt, Rinehart and Winston.
All rights reserved.
10,000
3
12
5
8
6. 4 • (2)3 4( 2 )( 2 )( 2 ) 16. ac bc for a 12, b 6, and c 2
2
7
Complete to simplify each expression.
9
15. xz yx for x 2, y 4, and z 5
3
power of
When an expression is a product that includes a power, you simplify
the power first.
3 • 23 3 • 2 • 2 • 2 3 • 8 24
14. 5x9 (y z) for x 1, y 10,
and z 6
11
third
the
5. (5)4 ( 5 )( 5 )( 5 )( 5 ) 15
13. yx xy xy for x 2 and y 3
2. (7) • (7) • (7) (7)
power of 5
Complete to evaluate each expression.
10. x2 y3 for x 5 and y 3
49
4
fourth
the
Evaluate each expression for the given values of the variables.
11. ab 6c for a 3, b 4, and c 2
3 3•3 •3•3•3
The fifth power of 3
256
8. (4)
243
9. n3 5p for n 4 and p 3
5
4
7. 3
625
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9
36 )
108
83
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68
)
100 2(
100 2(
100 388
12 )2
144 )
288
12. 15 4(3 32)
15 4(3 15 4(
15 6
9
)
12 )
48
33
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Holt Mathematics