Multiplication Properties of Exponents

1
Multiplication Properties of Exponents
ALGEBRA 1 LESSON 8-3
(For help, go to Lesson 1-6.)
Rewrite each expression using exponents. 1. t
t t t t t t 2. (6 m)(6 m)(6
m) 3. (r 5)(r 5)(r 5)(r 5)(r 5) 4. 5
5 5 s s s
Simplify. 5. 54 6. (5)4 7. (5)0 8. (5)4
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Multiplication Properties of Exponents
ALGEBRA 1 LESSON 8-3
1. t t t t t t t t7 2. (6
m)(6 m)(6 m) (6 m)3 3. (r 5)(r 5)(r
5)(r 5)(r 5) (r 5)5 4. 5 5 5 s
s s 53 s3 53s3 5. 54 (5 5 5 5)
(25 25) 625 6. (5)4 (5)(5)(5)(5)
(25)(25) 625 7. (5)0 1 8. (5)4 (
)4 ( )( )( )( ) ( )(
)
Solutions
1 5
1 5
1 5
1 5
1 5
1 25
1 25
1 625
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Multiplication Properties of Exponents
ALGEBRA 1 LESSON 8-3
Rewrite each expression using each base only
once.
73 72
a.
44 41 42
b.
68 68
c.
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4
Multiplication Properties of Exponents
ALGEBRA 1 LESSON 8-3
Simplify each expression.
p2 p p5
a.
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5
Multiplication Properties of Exponents
ALGEBRA 1 LESSON 8-3
Simplify each expression.
a 2 b 4 a 5
a.
2q 3p3 4q4
b.
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6
Multiplication Properties of Exponents
ALGEBRA 1 LESSON 8-3
Simplify (3 ? 103)(7 ? 105). Write the answer
in scientific notation.
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7
Multiplication Properties of Exponents
ALGEBRA 1 LESSON 8-3
The speed of light is 3 ? 108 m/s. If there are1
? 103 km in 1 m, and 3.6 ? 103 s in 1 h, find
the speed of light in km/h.
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Multiplication Properties of Exponents
ALGEBRA 1 LESSON 8-3
(continued)
The speed of light is about 1.08 ? 109 km/h.
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9
Multiplication Properties of Exponents
ALGEBRA 1 LESSON 8-3
Simplify each expression. 1. 34 35 2. 4x5
3x2 3. (3 ? 104)(5 ? 102) 4. (7 ? 104)(1.5 ?
105) 5. (2w 2)(3w2b2)(5b3) 6. What is 2
trillion times 3 billion written in scientific
notation?
39
12x3
1.5 ? 107
1.05 ? 102
6 ? 1021
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