# How do you simplify the expression (9a^5)/(3a)?

Apr 4, 2018

The simplified expression is $3 {a}^{4}$.

#### Explanation:

Use this exponent rule:

${x}^{\textcolor{red}{m}} / {x}^{\textcolor{b l u e}{n}} = {x}^{\textcolor{red}{m} - \textcolor{b l u e}{n}}$

First, split up the fraction into the number and letter parts, and compute each part separately:

$\textcolor{w h i t e}{=} \frac{9 {a}^{5}}{3 a}$

$= \frac{9 \cdot {a}^{5}}{3 \cdot a}$

$= \frac{9}{3} \cdot {a}^{5} / a$

$= 3 \cdot {a}^{5} / a$

$= 3 \cdot {a}^{\textcolor{red}{5}} / {a}^{\textcolor{b l u e}{1}}$

$= 3 \cdot {a}^{\textcolor{red}{5} - \textcolor{b l u e}{1}}$

$= 3 \cdot {a}^{\textcolor{p u r p \le}{4}}$

$= 3 {a}^{\textcolor{p u r p \le}{4}}$

That's simplified all the way. Hope this helped!