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Popular >

simplify (-1/4)^{-2}

Solution

simplify

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

Solution

16

Solution steps

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

Apply exponent rule:

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

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

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

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