# How do you evaluate (7.08times10^14)(5times10^-9)?

Apr 1, 2017

See the entire solution process below:

#### Explanation:

First, rewrite this expression as:

$\left(7.08 \times 5\right) \left({10}^{14} \times {10}^{-} 9\right) \to$

$35.4 \left({10}^{14} \times {10}^{-} 9\right)$

Now, use this rule for exponents to multiply the 10s terms:

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

$35.4 \left({10}^{\textcolor{red}{14}} \times {10}^{\textcolor{b l u e}{- 9}}\right) \to 35.4 \times {10}^{\textcolor{red}{14} + \textcolor{b l u e}{- 9}} \to 35.4 \times {10}^{5}$

Or

$3.54 \times {10}^{6}$