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

The solution to ((x^2y)^{-3})/((xy)^2) is 1/(x^8y^5)

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

simplify

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

\frac{1}{x ^{8} y ^{5}}

Solution steps

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

Simplify

(x^{2} y)^{- 3} : \frac{1}{x ^{6} y ^{3}}

= \frac{\frac{1}{x ^{6} y ^{3}}}{( x y ) ^{2}}

Apply the fraction rule:

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

= \frac{1}{x ^{6} y ^{3} ( x y ) ^{2}}

Simplify

x^{6} y^{3} (x y)^{2} : x^{8} y^{5}

= \frac{1}{x ^{8} y ^{5}}

2 ∣ 3 x - 2 ∣ = 14

81 x^{2} - 4 v^{2}

4 y^{2} - x^{2}

\frac{6 x + 3}{3} = \frac{7 x - 2}{5}

\frac{13 !}{2 ! ( 13 - 2 ) !}

What is ((x^2y)^{-3})/((xy)^2) ?
The solution to ((x^2y)^{-3})/((xy)^2) is 1/(x^8y^5)