What is ((x^{-2}y^4)^3)/((xy)^{-3)} ?

The solution to ((x^{-2}y^4)^3)/((xy)^{-3)} is (y^{15})/(x^3)

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simplify ((x^{-2}y^4)^3)/((xy)^{-3)}

simplify

\frac{( x ^{- 2} y ^{4} ) ^{3}}{( x y ) ^{- 3}}

\frac{y ^{15}}{x ^{3}}

Solution steps

\frac{( x ^{- 2} y ^{4} ) ^{3}}{( x y ) ^{- 3}}

Simplify

(x^{- 2} y^{4})^{3} : \frac{y ^{12}}{x ^{6}}

= \frac{\frac{y ^{12}}{x ^{6}}}{( x y ) ^{- 3}}

Apply the fraction rule:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

= \frac{y ^{12}}{x ^{6} ( x y ) ^{- 3}}

Simplify

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

= \frac{y ^{12}}{\frac{x ^{3}}{y ^{3}}}

Apply the fraction rule:

\frac{a}{\frac{b}{c}} = \frac{a \cdot c}{b}

= \frac{y ^{12} y ^{3}}{x ^{3}}

Simplify

y^{12} y^{3} : y^{15}

= \frac{y ^{15}}{x ^{3}}

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\frac{p ^{2} + p}{2 p}

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\frac{4 x ^{2}}{28 y ^{4} z ^{5}}

What is ((x^{-2}y^4)^3)/((xy)^{-3)} ?
The solution to ((x^{-2}y^4)^3)/((xy)^{-3)} is (y^{15})/(x^3)