What is ((\frac{5x^4y^2)/(4xy^7))^2}{((10x^3y^2)/(2x^5y))} ?

The solution to ((\frac{5x^4y^2)/(4xy^7))^2}{((10x^3y^2)/(2x^5y))} is (5x^8)/(16y^{11)}

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simplify ((\frac{5x^4y^2)/(4xy^7))^2}{((10x^3y^2)/(2x^5y))}

simplify

\frac{( \frac{5 x ^{4} y ^{2}}{4 x y ^{7}} ) ^{2}}{( \frac{10 x ^{3} y ^{2}}{2 x ^{5} y} )}

\frac{5 x ^{8}}{16 y ^{11}}

Solution steps

\frac{( \frac{5 x ^{4} y ^{2}}{4 x y ^{7}} ) ^{2}}{\frac{10 x ^{3} y ^{2}}{2 x ^{5} y}}

Apply the fraction rule:

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

= \frac{( \frac{5 x ^{4} y ^{2}}{4 x y ^{7}} ) ^{2} \cdot 2 x ^{5} y}{10 x ^{3} y ^{2}}

Cancel

\frac{( \frac{5 x ^{4} y ^{2}}{4 x y ^{7}} ) ^{2} \cdot 2 x ^{5} y}{10 x ^{3} y ^{2}} : \frac{5 x ^{8}}{16 y ^{11}}

= \frac{5 x ^{8}}{16 y ^{11}}

- 2 x^{2} - 4 x + 6

72 x^{2}

(y + 9)^{2}

lo g_{16} (32)

What is ((\frac{5x^4y^2)/(4xy^7))^2}{((10x^3y^2)/(2x^5y))} ?
The solution to ((\frac{5x^4y^2)/(4xy^7))^2}{((10x^3y^2)/(2x^5y))} is (5x^8)/(16y^{11)}