# How do you multiply and simplify the expression 2xy \cdot \frac{2y^2}{x^3}?

May 18, 2018

Well... ${x}^{3} = x \times {x}^{2}$ and the $x$ will cut out

$2 \cancel{x} y \times \frac{2 {y}^{2}}{\cancel{x} \times {x}^{2}}$

You get

$2 y \times \frac{2 {y}^{2}}{{x}^{2}}$

Simply multiply

$\frac{4 {y}^{3}}{x} ^ 2$