What is ((\frac{2xy)/(w^2))^3}{(24x^2)/(w^5)} ?

The solution to ((\frac{2xy)/(w^2))^3}{(24x^2)/(w^5)} is (xy^3)/(3w)

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simplify ((\frac{2xy)/(w^2))^3}{(24x^2)/(w^5)}

simplify

\frac{( \frac{2 x y}{w ^{2}} ) ^{3}}{\frac{24 x ^{2}}{w ^{5}}}

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

Solution steps

\frac{( \frac{2 x y}{w ^{2}} ) ^{3}}{\frac{24 x ^{2}}{w ^{5}}}

Apply the fraction rule:

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

= \frac{( \frac{2 x y}{w ^{2}} ) ^{3} w ^{5}}{24 x ^{2}}

Simplify

(\frac{2 x y}{w ^{2}})^{3} w^{5} : \frac{8 x ^{3} y ^{3}}{w}

= \frac{\frac{8 x ^{3} y ^{3}}{w}}{24 x ^{2}}

Apply the fraction rule:

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

= \frac{8 x ^{3} y ^{3}}{w \cdot 24 x ^{2}}

Simplify

\frac{x ^{3}}{x ^{2}} : x

= \frac{8 x y ^{3}}{w \cdot 24}

Cancel

\frac{8 x y ^{3}}{w \cdot 24} : \frac{x y ^{3}}{w \cdot 3}

= \frac{x y ^{3}}{w \cdot 3}

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

- \frac{20}{- 5}

(1.8)^{2}

ln (x^{9})

20 lo g_{10} (1000)

What is ((\frac{2xy)/(w^2))^3}{(24x^2)/(w^5)} ?
The solution to ((\frac{2xy)/(w^2))^3}{(24x^2)/(w^5)} is (xy^3)/(3w)