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

The solution to (2x^2y)/((3x^{-2)y)^2} is (2x^6)/(9y)

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

simplify

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

\frac{2 x ^{6}}{9 y}

Solution steps

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

Simplify

(3 x^{- 2} y)^{2} : \frac{9 y ^{2}}{x ^{4}}

= \frac{2 x ^{2} y}{\frac{9 y ^{2}}{x ^{4}}}

Apply the fraction rule:

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

= \frac{2 x ^{2} y x ^{4}}{9 y ^{2}}

Cancel

\frac{2 x ^{2} y x ^{4}}{9 y ^{2}} : \frac{2 x ^{6}}{9 y}

= \frac{2 x ^{6}}{9 y}

\frac{8}{24}

(4 - 7)^{2} - 6.7 + 20

x^{3} x^{10}

3 a (x - 6 + b)

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

What is (2x^2y)/((3x^{-2)y)^2} ?
The solution to (2x^2y)/((3x^{-2)y)^2} is (2x^6)/(9y)