What is sqrt(xy)*\sqrt[3]{2xy} ?

The solution to sqrt(xy)*\sqrt[3]{2xy} is cube root of 2}(xy)^{5/6

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simplify sqrt(xy)*\sqrt[3]{2xy}

simplify

Solution steps

Apply exponent rule:

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

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

(x y)^{\frac{1}{2} + \frac{1}{3}} = (x y)^{\frac{5}{6}}

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What is sqrt(xy)*\sqrt[3]{2xy} ?
The solution to sqrt(xy)*\sqrt[3]{2xy} is cube root of 2}(xy)^{5/6