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Popular >

simplify (1/4)^{-4}

Solution

simplify

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

Solution

256

Solution steps

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

Apply exponent rule:

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

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

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

(\frac{1}{4})^{4} = \frac{1}{256}

= \frac{1}{\frac{1}{256}}

\frac{1}{\frac{1}{256}} = 256

= 256

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Frequently Asked Questions (FAQ)

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