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Popular >

simplify (4^4)^{-1}

Solution

simplify

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

Solution

\frac{1}{256}

+1

Decimal Notation

0.00390625

Solution steps

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

Apply exponent rule:

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

= 4^{4 (- 1)}

4 (- 1) = - 4

= 4^{- 4}

Apply exponent rule:

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

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

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

4^{4} = 256

= \frac{1}{256}

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Frequently Asked Questions (FAQ)

What is (4^4)^{-1} ?
The solution to (4^4)^{-1} is 1/256