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Popular >

simplify (a/(a^2))^{-2}

Solution

simplify

(\frac{a}{a ^{2}})^{- 2}

Solution

a^{2}

Solution steps

(\frac{a}{a ^{2}})^{- 2}

Apply exponent rule:

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

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

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

Simplify

(\frac{a}{a ^{2}})^{2} : \frac{1}{a ^{2}}

= \frac{1}{\frac{1}{a ^{2}}}

Simplify

\frac{1}{\frac{1}{a ^{2}}} : a^{2}

= a^{2}

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Frequently Asked Questions (FAQ)

What is (a/(a^2))^{-2} ?
The solution to (a/(a^2))^{-2} is a^2