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Popular >

simplify (1/2 a^{-2})^{-3}

Solution

simplify

(\frac{1}{2} a^{- 2})^{- 3}

Solution

8 a^{6}

Solution steps

(\frac{1}{2} a^{- 2})^{- 3}

Apply exponent rule:

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

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

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

Simplify

(\frac{1}{2} a^{- 2})^{3} : \frac{1}{8 a ^{6}}

= \frac{1}{\frac{1}{8 a ^{6}}}

Simplify

\frac{1}{\frac{1}{8 a ^{6}}} : 8 a^{6}

= 8 a^{6}

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Frequently Asked Questions (FAQ)

What is (1/2 a^{-2})^{-3} ?
The solution to (1/2 a^{-2})^{-3} is 8a^6