What is (sqrt(xy))/(\sqrt[5]{32xy)} ?

The solution to (sqrt(xy))/(\sqrt[5]{32xy)} is (\sqrt[10]{x^3y^3})/2

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simplify (sqrt(xy))/(\sqrt[5]{32xy)}

simplify

Solution steps

Simplify

Apply radical rule:

a = a^{\frac{1}{2}}

x y = (x y)^{\frac{1}{2}}

Apply radical rule:

= \frac{( x y ) ^{\frac{1}{2}}}{2 ( x y ) ^{\frac{1}{5}}}

Simplify

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

a^{2} - 2 a = 8

\frac{1}{x ^{2} - 1} - \frac{2}{( x + 1 ) ^{2}}

\frac{25 - a ^{2}}{3 a - 15}

15 x^{2} - 25 x - 10

1098

What is (sqrt(xy))/(\sqrt[5]{32xy)} ?
The solution to (sqrt(xy))/(\sqrt[5]{32xy)} is (\sqrt[10]{x^3y^3})/2