Simplify (xy2/3)1/2

$(x y \frac{2}{3}) \frac{1}{2}$

Multiply $x y (\frac{2}{3})$ .

Combine $x$ and $\frac{2}{3}$ .

$y \frac{x \cdot 2}{3} \frac{1}{2}$

Combine $y$ and $\frac{x \cdot 2}{3}$ .

$\frac{y (x \cdot 2)}{3} \cdot \frac{1}{2}$

$\frac{y (x \cdot 2)}{3} \cdot \frac{1}{2}$

Cancel the common factor of $2$ .

Factor $2$ out of $y x \cdot 2$ .

$\frac{2 \cdot (y x)}{3} \cdot \frac{1}{2}$

Cancel the common factor.

$\frac{2 \cdot (y x)}{3} \cdot \frac{1}{2}$

Rewrite the expression.

$\frac{y x}{3}$

$\frac{y x}{3}$

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