# How do you simplify (6.5times10^7)(7.2times10^-2)?

Feb 20, 2017

See the entire simplification process below:

#### Explanation:

We can rewrite this expression as:

$\left(6.5 \times 7.2\right) \left({10}^{7} \times {10}^{-} 2\right) = 46.8 \left({10}^{7} \times {10}^{-} 2\right)$

Next, use this rule for exponents to simplify the 10s terms:

${x}^{\textcolor{red}{a}} \times {x}^{\textcolor{b l u e}{b}} = {x}^{\textcolor{red}{a} + \textcolor{b l u e}{b}}$

$46.8 \left({10}^{\textcolor{red}{7}} \times {10}^{\textcolor{b l u e}{- 2}}\right) = 46.8 \times {10}^{\textcolor{red}{7} + \textcolor{b l u e}{- 2}} = 46.8 \times {10}^{5}$

Or

$4.68 \times {10}^{6}$