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Popular >

simplify (4^3)^{-1}

Solution

simplify

(4^{3})^{- 1}

Solution

\frac{1}{64}

+1

Solution steps

(4^{3})^{- 1}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 4^{3 (- 1)}

3 (- 1) = - 3

= 4^{- 3}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

4^{- 3} = \frac{1}{4 ^{3}}

= \frac{1}{4 ^{3}}

4^{3} = 64

= \frac{1}{64}

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Frequently Asked Questions (FAQ)

What is (4^3)^{-1} ?
The solution to (4^3)^{-1} is 1/64