What is ((27a^{12}}{t^{15}})^{\frac{-2)/3} ?

The solution to ((27a^{12}}{t^{15}})^{\frac{-2)/3} is (t^{10})/(9a^8)

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simplify ((27a^{12}}{t^{15}})^{\frac{-2)/3}

simplify

(\frac{27 a ^{12}}{t ^{15}})^{\frac{- 2}{3}}

\frac{t ^{10}}{9 a ^{8}}

Solution steps

(\frac{27 a ^{12}}{t ^{15}})^{\frac{- 2}{3}}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 27 a ^{12} ) ^{\frac{- 2}{3}}}{( t ^{15} ) ^{\frac{- 2}{3}}}

Simplify

(27 a^{12})^{\frac{- 2}{3}} : \frac{1}{9 a ^{8}}

= \frac{\frac{1}{9 a ^{8}}}{( t ^{15} ) ^{\frac{- 2}{3}}}

Simplify

(t^{15})^{\frac{- 2}{3}} : \frac{1}{t ^{10}}

= \frac{\frac{1}{9 a ^{8}}}{\frac{1}{t ^{10}}}

Simplify

\frac{\frac{1}{9 a ^{8}}}{\frac{1}{t ^{10}}} : \frac{t ^{10}}{9 a ^{8}}

= \frac{t ^{10}}{9 a ^{8}}

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What is ((27a^{12}}{t^{15}})^{\frac{-2)/3} ?
The solution to ((27a^{12}}{t^{15}})^{\frac{-2)/3} is (t^{10})/(9a^8)