# How do you simplify (x^2y)/4*(16x)/y?

Dec 3, 2016

$4 {x}^{3}$

#### Explanation:

First, multiply the numerator and denominator and group terms using the rules for exponents:

$\frac{16 x 2 {x}^{1} y}{4 y}$

$\frac{16 {x}^{2 + 1} y}{4 y}$

$\frac{16 {x}^{3} y}{4 y}$

Next, separate terms and factor:

$\left(\frac{16}{4}\right) {x}^{3} \left(\frac{y}{y}\right)$

$4 \cdot {x}^{3} \cdot 1$

$4 {x}^{3}$