# How do you simplify (6.25times10^-4)/(1.25times10^2)?

May 21, 2017

See a solution process below:

#### Explanation:

First, rewrite the expression as:

$\left(\frac{6.25}{1.25}\right) \times \left({10}^{-} \frac{4}{10} ^ 2\right) \implies 5 \times \left({10}^{-} \frac{4}{10} ^ 2\right)$

Now, use this rule of exponents to simplify the 10s terms:

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

$5 \times {10}^{\textcolor{red}{- 4}} / {10}^{\textcolor{b l u e}{2}} \implies 5 \times {10}^{\textcolor{red}{- 4} - \textcolor{b l u e}{2}} \implies 5 \times {10}^{-} 6$