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1 vote
Evaluate this equation: (4^-3) (4^6)

2 Answers

6 votes
The answer is: " 64 " .
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Step-by-step explanation:
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4⁻³ * 4⁶ = 4⁽⁻³⁺⁶⁾ = 4³ = 4*4*4 = 64. The answer is: "64" .
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Or:
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4⁻³ * 4⁶ = 1/4³ * 4⁶ = 4⁶ / 4³ = 4⁽⁶⁻³⁾ = 4³ = 4*4*4 = 64.
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Note the following properties of exponents:
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1) xᵃ * xᵇ = x⁽ᵃ⁺ᵇ⁾ ;

2) x ⁻ᵃ = 1/xᵃ ; (x ≠ 0) ;

3) xᵃ/xᵇ = x⁽ᵃ⁻ᵇ⁾ ; (x ≠ 0) ;
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User Xdsemx
by
7.7k points
7 votes
the answer is -1/64, i hope its helps
User Mike Hawkins
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8.1k points