# How do you simplify (5m^-1 )/ (9(ab)^-4 c^7)?

##### 1 Answer
Jun 22, 2018

To simplify this fraction, we need to get rid of the negative exponents.

#### Explanation:

Let's move the variables with the negative exponents to the other side of the fraction since ${x}^{-} y = \frac{1}{x} ^ y$:

$\frac{5 {m}^{-} 1}{9 {\left(a b\right)}^{-} 4 {c}^{7}}$

$\frac{5 {\left(a b\right)}^{4}}{9 m {c}^{7}}$

$\frac{5 {a}^{4} {b}^{4}}{9 m {c}^{7}}$