More Multiplication Properties of Exponents

1
More Multiplication Properties of Exponents
ALGEBRA 1 LESSON 8-4
(For help, go to Lesson 8-3.)
Rewrite each expression using each base only
once. 1. 32 32 32 2. 23 23 23 23 3. 57
57 57 57 4. 7 7 7 Simplify. 5. x3
x3 6. a2 a2 a2 7. y2 y2 y2 8. n3 n3
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2
More Multiplication Properties of Exponents
ALGEBRA 1 LESSON 8-4
1. 32 32 32 3(2 2 2) 36 2. 23
23 23 23 2(3 3 3 3) 212 3. 57 57
57 57 5(7 7 7 7) 528 4. 7 7 7
73 5. x3 x3 x(3 3) x6 6. a2 a2 a2
a(2 2 2) a6 7. y2 y2 y2 y(2
(2) (2)) y6 8. n3 n3 n(3
(3)) n6
Solutions
1 y 6
1 n 6
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3
More Multiplication Properties of Exponents
ALGEBRA 1 LESSON 8-4
Simplify (a3)4.
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4
More Multiplication Properties of Exponents
ALGEBRA 1 LESSON 8-4
Simplify b2(b3)2.
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5
More Multiplication Properties of Exponents
ALGEBRA 1 LESSON 8-4
Simplify (4x3)2.
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6
More Multiplication Properties of Exponents
ALGEBRA 1 LESSON 8-4
Simplify (4xy3)2(x3)3.
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7
More Multiplication Properties of Exponents
ALGEBRA 1 LESSON 8-4
An object has a mass of 102 kg. The expression
102 (3 ? 108)2 describes the amount of resting
energy in joules the object contains. Simplify
the expression.
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8
More Multiplication Properties of Exponents
ALGEBRA 1 LESSON 8-4
Simplify each expression. 1. (x4)5 2. x(x5y2)3 3
. (5x4)3 4. (1.5 ? 105)2 5. (2w2)4(3w2b2)3 6. (3
? 105)(4 ? 104)2
x20
2.25 ? 1010
125x12
432b6w2
4.8 ? 103
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