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Popular >

simplify (1/2)^{-4}

Solution

simplify

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

Solution

16

Solution steps

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

Apply exponent rule:

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

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

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

(\frac{1}{2})^{4} = \frac{1}{16}

= \frac{1}{\frac{1}{16}}

\frac{1}{\frac{1}{16}} = 16

= 16

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Frequently Asked Questions (FAQ)

What is (1/2)^{-4} ?
The solution to (1/2)^{-4} is 16