What is sqrt((20x^{13)y^5)/(5xy^7)} ?

The solution to sqrt((20x^{13)y^5)/(5xy^7)} is (2x^6)/y

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simplify sqrt((20x^{13)y^5)/(5xy^7)}

simplify

\frac{20 x ^{13} y ^{5}}{5 x y ^{7}}

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

Solution steps

\frac{20 x ^{13} y ^{5}}{5 x y ^{7}}

Cancel

\frac{20 x ^{13} y ^{5}}{5 x y ^{7}} : \frac{4 x ^{12}}{y ^{2}}

= \frac{4 x ^{12}}{y ^{2}}

Apply radical rule:

\frac{a}{b} = \frac{a}{b},

assuming

a \geq 0, b \geq 0

= \frac{4 x ^{12}}{y ^{2}}

Simplify

4 x^{12} : 2 x^{6}

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

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

y^{2} = y

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

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64 m^{9} + 64 n^{16}

- \frac{1}{cos ( x )}

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

What is sqrt((20x^{13)y^5)/(5xy^7)} ?
The solution to sqrt((20x^{13)y^5)/(5xy^7)} is (2x^6)/y