# How do you (16x^2)/(4x^5)?

Jul 20, 2015

$\frac{16 {x}^{2}}{4 {x}^{5}} = \frac{4}{x} ^ 3$

#### Explanation:

$\frac{16 {x}^{2}}{4 {x}^{5}}$

Simplify $\frac{16}{4}$ to $4$.

$\frac{4 {x}^{2}}{{x}^{5}}$

Apply the exponent rule ${a}^{m} / {a}^{n} = {a}^{m - n}$.

$\frac{4 {x}^{2}}{x} ^ 5 = 4 {x}^{2 - 5} = 4 {x}^{- 3}$

Apply the exponent rule ${a}^{- m} = \frac{1}{{a}^{m}}$

$4 {x}^{- 3} = \frac{4}{x} ^ 3$