# How do you simplify (80x^4)/y^4*(xy)/(5x^2)?

Aug 29, 2016

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

#### Explanation:

The multiplication sign allows us to cancel the numbers.

Do this first and then combine the like bases at the top and the bottom by adding the indices.
This makes the final simplification of the variables quicker and easier.

$\frac{{\cancel{80}}^{16} {x}^{4}}{y} ^ 4 \times \frac{x y}{\cancel{5} {x}^{2}} = \frac{16 {x}^{5} y}{{x}^{2} {y}^{4}}$

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