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Popular >

simplify (4/(4^{-3)})^{-2}

Solution

simplify

(\frac{4}{4 ^{- 3}})^{- 2}

Solution

\frac{1}{65536}

+1

Decimal Notation

0.00001 \dots

Solution steps

(\frac{4}{4 ^{- 3}})^{- 2}

Apply exponent rule:

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

(\frac{4}{4 ^{- 3}})^{- 2} = \frac{1}{( \frac{4}{4 ^{- 3}} ) ^{2}}

= \frac{1}{( \frac{4}{4 ^{- 3}} ) ^{2}}

(\frac{4}{4 ^{- 3}})^{2} = 65536

= \frac{1}{65536}

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Frequently Asked Questions (FAQ)

What is (4/(4^{-3)})^{-2} ?
The solution to (4/(4^{-3)})^{-2} is 1/65536