# How do you simplify (a^6b^4c^10)/(a^3b^2c)?

Apr 29, 2017

See the solution process below:

#### Explanation:

First, rewrite this expression as:

$\left({a}^{6} / {a}^{3}\right) \left({b}^{4} / {b}^{2}\right) \left({x}^{10} / c\right)$

Now use these two rules of exponents to simplify each of the terms:

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

$\left({a}^{\textcolor{red}{6}} / {a}^{\textcolor{b l u e}{3}}\right) \left({b}^{\textcolor{red}{4}} / {b}^{\textcolor{b l u e}{2}}\right) \left({c}^{\textcolor{red}{10}} / {c}^{\textcolor{b l u e}{1}}\right) = {a}^{\textcolor{red}{6} - \textcolor{b l u e}{3}} {b}^{\textcolor{red}{4} - \textcolor{b l u e}{2}} {c}^{\textcolor{red}{10} - \textcolor{b l u e}{1}} =$

${a}^{3} {b}^{2} {c}^{9}$