# How do you find the quotient 10^10div10^2?

Feb 7, 2017

See the entire solution process below:

#### Explanation:

First, we can rewrite this expression as:

${10}^{10} / {10}^{2}$

Next we can use this rule of exponents to simplify this expression:

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

${10}^{\textcolor{red}{10}} / {10}^{\textcolor{b l u e}{2}} = {10}^{\textcolor{red}{10} - \textcolor{b l u e}{2}} = {10}^{8} = 100 , 000 , 000$