# How do you simplify (5.184times10^-5)/(7.2times10^3)?

Feb 26, 2017

See the entire simplification process below:

#### Explanation:

First, rewrite this expression as:

$\left(\frac{5.184}{7.2}\right) \times \left({10}^{-} \frac{5}{10} ^ 3\right) = 0.72 \times \left({10}^{-} \frac{5}{10} ^ 3\right)$

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

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

$0.72 \times \left({10}^{\textcolor{red}{- 5}} / {10}^{\textcolor{b l u e}{3}}\right) = 0.72 \times {10}^{\textcolor{red}{- 5} - \textcolor{b l u e}{3}} =$

$0.72 \times {10}^{-} 8$

Or

$7.2 \times {10}^{-} 9$