What is ((x^5)/(y^{-2)})^{-3} ?

The solution to ((x^5)/(y^{-2)})^{-3} is 1/(x^{15)y^6}

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simplify ((x^5)/(y^{-2)})^{-3}

simplify

(\frac{x ^{5}}{y ^{- 2}})^{- 3}

\frac{1}{x ^{15} y ^{6}}

Solution steps

(\frac{x ^{5}}{y ^{- 2}})^{- 3}

Apply exponent rule:

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

(\frac{x ^{5}}{y ^{- 2}})^{- 3} = \frac{1}{( \frac{x ^{5}}{y ^{- 2}} ) ^{3}}

= \frac{1}{( \frac{x ^{5}}{y ^{- 2}} ) ^{3}}

Simplify

(\frac{x ^{5}}{y ^{- 2}})^{3} : x^{15} y^{6}

= \frac{1}{x ^{15} y ^{6}}

(x - 3) (x + 8)

- \frac{1}{7} 94

\frac{1440}{72}

\frac{20}{9}

(x + 4) (x + 1)

What is ((x^5)/(y^{-2)})^{-3} ?
The solution to ((x^5)/(y^{-2)})^{-3} is 1/(x^{15)y^6}