# How do you simplify sqrt(x^2y^2)/sqrt(x^4)?

$\frac{\sqrt{{x}^{2} \cdot {y}^{2}}}{\sqrt{{x}^{4}}} = \frac{\sqrt{{\left(x \cdot y\right)}^{2}}}{{\sqrt{\left({x}^{2}\right)}}^{2}} = \frac{\left\mid x \cdot y \right\mid}{x} ^ 2 = \left\mid x \right\mid \cdot \frac{\left\mid y \right\mid}{\left\mid x \right\mid} ^ 2 = \frac{\left\mid y \right\mid}{\left\mid x \right\mid}$