# How do you simplify n^15/n^11 leaving only positive exponents?

Apr 5, 2016

${n}^{4}$

#### Explanation:

Use the exponent law, ${\textcolor{p u r p \le}{b}}^{\textcolor{red}{m}} / {\textcolor{p u r p \le}{b}}^{\textcolor{b l u e}{n}} = {\textcolor{p u r p \le}{b}}^{\textcolor{red}{m} - \textcolor{b l u e}{n}}$, to simplify the expression.

Since the base of both powers is $n$, the expression simplifies to...

${n}^{15 - 11}$

... which becomes...

$\textcolor{g r e e n}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} {n}^{4} \textcolor{w h i t e}{\frac{a}{a}} |}}}$