Answer
$\color{blue}{\dfrac{x^2y\sqrt{xy}}{z}}$
Work Step by Step
Bring out the square root of the denominator to obtain:
$=\dfrac{1}{z} \cdot \sqrt{x^5y^3}
\\=\dfrac{\sqrt{x^5y^3}}{z}$
Factor the radicand such that at least one factor is a perfect square to obtain:
$\\=\dfrac{\sqrt{(x^4y^2)(xy)}}{z}
\\=\dfrac{\sqrt{(x^2y)^2(xy)}}{z}$
Bring out the square root of the perfect square factor/s of the numerator to obtain:
$\\=\color{blue}{\dfrac{x^2y\sqrt{xy}}{z}}$
