# How do you simplify (3n^4)/(3n^3) and write it using only positive exponents?

Jun 17, 2017

See a solution process below:

#### Explanation:

First, we can cancel the common term in the numerator and denominator of the fraction:

$\frac{3 {n}^{4}}{3 {n}^{3}} \implies \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{3}}} {n}^{4}}{\textcolor{red}{\cancel{\textcolor{b l a c k}{3}}} {n}^{3}} \implies {n}^{4} / {n}^{3}$

Next, we can use these rules for exponents to complete the simplification:

${x}^{\textcolor{red}{a}} / {x}^{\textcolor{b l u e}{b}} = {x}^{\textcolor{red}{a} - \textcolor{b l u e}{b}}$ and ${a}^{\textcolor{red}{1}} = a$

${n}^{\textcolor{red}{4}} / {n}^{\textcolor{b l u e}{3}} \implies {n}^{\textcolor{red}{4} - \textcolor{b l u e}{3}} \implies {n}^{\textcolor{red}{1}} \implies n$