What is (sqrt(xy))/(\sqrt[5]{243xy)} ?

The solution to (sqrt(xy))/(\sqrt[5]{243xy)} is (\sqrt[10]{x^3y^3})/3

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simplify (sqrt(xy))/(\sqrt[5]{243xy)}

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}}}{3 ( x y ) ^{\frac{1}{5}}}

Simplify

Apply exponent rule:

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

9 x - 16 = 9 x - 23

6 x^{4} - 3 x^{3} - 24 x^{2} + 12 x

x^{3} (x - 4) + 2 (4 - x)

\frac{\frac{π}{4}}{3}

375

What is (sqrt(xy))/(\sqrt[5]{243xy)} ?
The solution to (sqrt(xy))/(\sqrt[5]{243xy)} is (\sqrt[10]{x^3y^3})/3