# How do you simplify 5u^2v^-1 and write it using only positive exponents?

Jan 16, 2017

See full simplification below:

#### Explanation:

To write this expression using only positive exponents we will use this rule of exponents:

${x}^{\textcolor{red}{a}} = \frac{1}{x} ^ \textcolor{red}{- a}$

$5 {u}^{2} {v}^{\textcolor{red}{- 1}} \to \frac{5 {u}^{2}}{v} ^ \textcolor{red}{- - 1} \to \frac{5 {u}^{2}}{v} ^ \textcolor{red}{1}$

Then to complete the simplification we can utilize this rule for exponents:

${a}^{\textcolor{red}{1}} = a$

$\frac{5 {u}^{2}}{v} ^ \textcolor{red}{1} \to \frac{5 {u}^{2}}{v}$