What is simplify-(x^{-5}y^{1/3})^{-3/5} ?

The solution to simplify-(x^{-5}y^{1/3})^{-3/5} is -(x^3)/(y^{1/5)}

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simplify-(x^{-5}y^{1/3})^{-3/5}

simplify

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

- \frac{x ^{3}}{y ^{\frac{1}{5}}}

Solution steps

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

Apply exponent rule:

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

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

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

Simplify

(x^{- 5} y^{\frac{1}{3}})^{\frac{3}{5}} : \frac{y ^{\frac{1}{5}}}{x ^{3}}

= - \frac{1}{\frac{y ^{\frac{1}{5}}}{x ^{3}}}

Apply the fraction rule:

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

= - \frac{x ^{3}}{y ^{\frac{1}{5}}}

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What is simplify-(x^{-5}y^{1/3})^{-3/5} ?
The solution to simplify-(x^{-5}y^{1/3})^{-3/5} is -(x^3)/(y^{1/5)}