# How do you simplify (m^6r^5p^3)/(m^5r^2p^3)?

Feb 22, 2017

See the entire simplification process below:

#### Explanation:

We will use this rule for exponents to simplify this expression:

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

$\frac{{m}^{\textcolor{red}{6}} {r}^{\textcolor{red}{5}} {p}^{\textcolor{red}{3}}}{{m}^{\textcolor{b l u e}{5}} {r}^{\textcolor{b l u e}{2}} {p}^{\textcolor{b l u e}{3}}} = {m}^{\textcolor{red}{6} - \textcolor{b l u e}{5}} {r}^{\textcolor{red}{5} - \textcolor{b l u e}{2}} {p}^{\textcolor{red}{3} - \textcolor{b l u e}{3}} = {m}^{1} {r}^{3} {p}^{0}$

Now, we will use these two rules for exponents to complete the simplification:

${a}^{\textcolor{red}{1}} = a$ and ${a}^{\textcolor{b l u e}{0}} = 1$

${m}^{\textcolor{red}{1}} {r}^{3} {p}^{\textcolor{b l u e}{0}} = m {r}^{3} \times 1 = m {r}^{3}$