What is (27x^{-3}y^6)^{-5/3} ?

The solution to (27x^{-3}y^6)^{-5/3} is (x^5)/(243y^{10)}

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simplify (27x^{-3}y^6)^{-5/3}

simplify

(27 x^{- 3} y^{6})^{- \frac{5}{3}}

\frac{x ^{5}}{243 y ^{10}}

Solution steps

(27 x^{- 3} y^{6})^{- \frac{5}{3}}

Apply exponent rule:

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

(27 x^{- 3} y^{6})^{- \frac{5}{3}} = \frac{1}{( 27 x ^{- 3} y ^{6} ) ^{\frac{5}{3}}}

= \frac{1}{( 27 x ^{- 3} y ^{6} ) ^{\frac{5}{3}}}

Simplify

(27 x^{- 3} y^{6})^{\frac{5}{3}} : \frac{243 y ^{10}}{x ^{5}}

= \frac{1}{\frac{243 y ^{10}}{x ^{5}}}

Apply the fraction rule:

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

= \frac{x ^{5}}{243 y ^{10}}

720

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8 p^{2} r^{2} - 24 p r^{3} + 16 p r

What is (27x^{-3}y^6)^{-5/3} ?
The solution to (27x^{-3}y^6)^{-5/3} is (x^5)/(243y^{10)}