# How do you simplify 12xy^-3?

Oct 5, 2016

$12 x {y}^{-} 3 = \frac{12 x}{y} ^ 3$

#### Explanation:

Recall: ${x}^{-} m = \frac{1}{x} ^ m$

In $12 x {y}^{-} 3$ , the -3 applies only to the $y$.

$12 x {y}^{-} 3 = \frac{12 x}{y} ^ 3$

If the term had been like this:

${\left(12 x y\right)}^{-} 3$, then the answer would be $\frac{1}{12 x y} ^ 3$