# How do you simplify (2n^-2)/(3p^-3) and write it using only positive exponents?

Sep 19, 2016

$\frac{2 {p}^{3}}{3 {n}^{2}}$

#### Explanation:

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

Note that the index only applies to the immediate base.

$\frac{2 \textcolor{red}{{n}^{-} 2}}{3 \textcolor{b l u e}{{p}^{-} 3}} \text{ } \leftarrow$ p goes up, n goes down

= $\frac{2 \textcolor{b l u e}{{p}^{3}}}{3 \textcolor{red}{{n}^{2}}} \text{ } \leftarrow$ positive exponents