MSM07G8_RESBK_Ch04_019-026.pe
1/30/06
1:10 PM
Page 20
Name
Date
Class
Practice B
LESSON
4-3 Properties of Exponents
Multiply. Write the product as one power.
1. 105 • 107
2. x 9 • x 8
1012
5. y 12 • y 10
3. 147 • 149
4. 126 • 128
1416
1012
x 17
6. 159 • 1514
1012
7. (11)20 • (11)10 8. (a)6 • (a)7
1523
1012
1012
Divide. Write the quotient as one power.
9
12
10
(11)
10. ᎏᎏ
8
12
9. ᎏᎏ2
(11)
12
127
19
x5
2317
15. ᎏᎏ
239
14
1717
16
1012
14
14. ᎏᎏ
13
17
16
12. ᎏᎏ
2
x
15
17
13. ᎏᎏ
2
10
x
11. ᎏᎏ
5
142
168
12
(a)
16. ᎏᎏ
7
(a)
238
1012
Simplify.
18. (24)3
17. (62)4
68
21. (92)3
96
19. (35)1
212
20. (y5)2
35
23. (x4)2
22. (100)3
y10
24. (52)0
x8
100
50
Write the product or quotient as one power.
w
12
26. d 8 • d 5
25. ᎏᎏ
3
w
w9
27. (15)5 • (15)10
d 13
28. Jefferson High School has a student
body of 64 students. Each class has
approximately 62 students. How
many classes does the school have?
Write the answer as one power.
29. Write the expression for a number
used as a factor fifteen times being
multiplied by a number used as a
factor ten times. Then, write the
product as one power.
62
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
(15)15
x 15 • x 10 x 25
20
Holt Mathematics
Practice A
4-3 Properties of Exponents
Practice B
4-3 Properties of Exponents
LESSON
LESSON
Multiply. Write the product as one power.
1. 22 • 23
2
2. 35 • 32
5
Multiply. Write the product as one power.
3. 13 • 15
7
3
5. 81 • 81
1
6. 74 • 75
82
4. 54 • 53
8
8. n3 • n8
123
5. y
5
4
6
10
10. 3
2
43
5
2
6
24
9
12
8. (a)6 • (a)7
(a)13
10
16
12. 2
x
16
(11)4
x5
168
17
12
(a)
16. 7
23
15. 239
14
14. 13
17
14
1717
b
10
x
11. 5
15
17
13. 2
2
Simplify.
142
(a)
238
(a)5
Simplify.
18. (63)1
17. (32)4
3
• (11)
(11)30
(11)
19
(6)
1214
10
7. (11)
(11)
10. 8
127
b7
16. 5
b
3
20
1523
12
(3)2
(6)8
15. 5
(6)
1416
14
6. 15 • 15
12
9. 2
(3)
101
249
14. 3
24
9
4. 126 • 128
Divide. Write the quotient as one power.
6
4
23
58
13. 6
5
• y
3. 147 • 149
x 17
10
y 22
(3)
12. 4
4
11. 3
10
12
n11
Divide. Write the quotient as one power.
2
9. 2
2. x 9 • x 8
1012
5
7. 121 • 122
79
1. 105 • 107
7
8
6
21. (52)3
19. (45)0
20. (82)3
3
4
0
56
24. (s5)2
98
70
21. (9
2 3
35
22. (10 )
6
y10
23. (x )
24. (5
2 0
)
8
0
9
20. (y5)2
4 2
0 3
)
s10
19. (35)1
212
68
8
23. (94)2
22. (70)4
18. (24)3
17. (62)4
6
50
x
10
2
25. The Haywood Paper Company has 5 warehouses. Each
warehouse holds 55 boxes of paper. How many boxes of paper
are stored in all the warehouses? Write the answer as one
power.
Write the product or quotient as one power.
w
12
26. d 8 • d 5
25. 3
w
w9
57
27. (15)5 • (15)10
d 13
(15)15
28. Jefferson High School has a student
body of 64 students. Each class has
approximately 62 students. How
many classes does the school have?
Write the answer as one power.
26. Write the expression for 5 used as a factor eight times being
divided by 5 used as a factor six times. Simplify the expression
as one power.
58
6
2
5 5
29. Write the expression for a number
used as a factor fifteen times being
multiplied by a number used as a
factor ten times. Then, write the
product as one power.
62
19
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Holt Mathematics
d5
2. (10)14 • (10)4 3. d
To multiply powers
with the same base,
keep the base and add
exponents.
4. 910 92
(10)18
5. t 12 • t 5
6.
t 17
d4
(x)10
(x)8
11. 1710 • 17
12
11
(k)
8. 149 • 149
160
10. 15 • 1511
3
98
7. 168 168
(x )2
9. (k)12 (k)9
15
1418
12. x 8 x 8
17
x
15. (26)1
78
17. (32)3
83 8 831 82
1. 45 • 42 (
120
22. 55 52 • 53
x9
x
2
x
x2
6
2
25. (4) • (4) (4)
5
4
)•(
8
)(
4
)•(
)8
4
)(
4
)4
7
4
6
5
7. 94 • 93 9
126
9. 4 12
7
12
43
64
9
7
12
2
Write each product or quotient as one power.
2
3
26. 2 2 • 2 2
(4)8
)(
76
4
8. 2 762 7
83
4
)(
8
6. 123 • 122 1232 12
23. 84 • 8 82
56
3
4
)(
Complete to write each product or quotient as one power.
y6
Write as one power.
21. x 3 • x 2 • x 4
)(
8
4
20. (y1)6
w8
4
)(
83
8•8•8
2
4. 83 8 8 8 8
5. (42)3 42 • 42 • 42 4222 42(3) 4
x10
19. (w4)2
4
8
45
4•4•4•4•4
3
4
3. 45 42 2 4•4
16. (x2)5
26
18. (120)2
36
24. x
45 42 45 2 43
83 • 8 83 1 84
2. 8 • 8 (
512
7
xa xbxab
45 • 42 45 2 47
To raise a power
to a power,
keep the base and
multiply exponents.
(xa)b xab
(45)2 45(2) 410
Complete to see why the rules for exponents work.
0
Simplify.
14. (74)2
To divide powers with
the same base,
keep the base and
subtract exponents.
xa • xbxab
3
13. (53)4
Holt Mathematics
LESSON
Write the product or quotient as one power.
x 18
20
Reteach
4-3 Properties of Exponents
Practice C
4-3 Properties of Exponents
LESSON
1. x 10 • x 8
x 15 • x 10 x 25
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
10. 104 • 106 23
156
13. 2 1010
5
154
9
14. 9 15
27. Justine and ninety-nine of her co-workers won the lottery worth
$108. They all received their winnings over ten years. How much
did each receive in a one-year period?
56
11. 55 • 5 12. 45 • 4 • 43 94
210
15. 22
28
18. (25)2 210
49
Simplify.
$105 or $100,000
16. (53)4 53(4) 512
17. (62)4 62(4) 68
28. A number to the 7th power divided by the same number to the
3rd power equals 256. What is the number?
4
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
21
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Holt Mathematics
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
72
22
Holt Mathematics
Holt Mathematics