What is ((x^{-5})/(y^{-4)})^3 ?

The solution to ((x^{-5})/(y^{-4)})^3 is (y^{12})/(x^{15)}

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simplify ((x^{-5})/(y^{-4)})^3

simplify

(\frac{x ^{- 5}}{y ^{- 4}})^{3}

\frac{y ^{12}}{x ^{15}}

Solution steps

(\frac{x ^{- 5}}{y ^{- 4}})^{3}

Apply exponent rule:

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

= \frac{( x ^{- 5} ) ^{3}}{( y ^{- 4} ) ^{3}}

Simplify

(x^{- 5})^{3} : \frac{1}{x ^{15}}

= \frac{\frac{1}{x ^{15}}}{( y ^{- 4} ) ^{3}}

Simplify

(y^{- 4})^{3} : \frac{1}{y ^{12}}

= \frac{\frac{1}{x ^{15}}}{\frac{1}{y ^{12}}}

Simplify

\frac{\frac{1}{x ^{15}}}{\frac{1}{y ^{12}}} : \frac{y ^{12}}{x ^{15}}

= \frac{y ^{12}}{x ^{15}}

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What is ((x^{-5})/(y^{-4)})^3 ?
The solution to ((x^{-5})/(y^{-4)})^3 is (y^{12})/(x^{15)}