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Popular >

simplify (27a^{-9})^{-2/3}

Solution

simplify

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

Solution

\frac{a ^{6}}{9}

Solution steps

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

Apply exponent rule:

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

(27 a^{- 9})^{- \frac{2}{3}} = \frac{1}{( 27 a ^{- 9} ) ^{\frac{2}{3}}}

= \frac{1}{( 27 a ^{- 9} ) ^{\frac{2}{3}}}

Simplify

(27 a^{- 9})^{\frac{2}{3}} : \frac{9}{a ^{6}}

= \frac{1}{\frac{9}{a ^{6}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{a ^{6}}{9}

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Frequently Asked Questions (FAQ)

What is (27a^{-9})^{-2/3} ?
The solution to (27a^{-9})^{-2/3} is (a^6)/9