What is (\frac{x^3)/(y^2)}{(x^6)/(y^5)} ?

The solution to (\frac{x^3)/(y^2)}{(x^6)/(y^5)} is (y^3)/(x^3)

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simplify (\frac{x^3)/(y^2)}{(x^6)/(y^5)}

simplify

\frac{\frac{x ^{3}}{y ^{2}}}{\frac{x ^{6}}{y ^{5}}}

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

Solution steps

\frac{\frac{x ^{3}}{y ^{2}}}{\frac{x ^{6}}{y ^{5}}}

Apply the fraction rule:

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

= \frac{x ^{3} y ^{5}}{y ^{2} x ^{6}}

Cancel

\frac{x ^{3} y ^{5}}{y ^{2} x ^{6}} : \frac{y ^{3}}{x ^{3}}

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

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What is (\frac{x^3)/(y^2)}{(x^6)/(y^5)} ?
The solution to (\frac{x^3)/(y^2)}{(x^6)/(y^5)} is (y^3)/(x^3)