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Popular >

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

Solution

simplify

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

Solution

a^{9}

Solution steps

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

Apply exponent rule:

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

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

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

Simplify

(a^{- 1} a^{- 2})^{3} : \frac{1}{a ^{9}}

= \frac{1}{\frac{1}{a ^{9}}}

Simplify

\frac{1}{\frac{1}{a ^{9}}} : a^{9}

= a^{9}

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Frequently Asked Questions (FAQ)

What is (a^{-1}*a^{-2})^{-3} ?
The solution to (a^{-1}*a^{-2})^{-3} is a^9