# How do you simplify (2times10^-6)(6times10^7)?

Feb 13, 2017

See the entire simplification process below:

#### Explanation:

First, we can rewrite this expression as:

$\left(2 \times 6\right) \left({10}^{-} 6 \times {10}^{7}\right) = 12 \left({10}^{-} 6 \times {10}^{7}\right)$

We can now use this rule for exponents to combine the 10s terms:

${\left({x}^{\textcolor{red}{a}}\right)}^{\textcolor{b l u e}{b}} = {x}^{\textcolor{red}{a} \times \textcolor{b l u e}{b}}$

$12 \left({10}^{\textcolor{red}{- 6}} \times {10}^{\textcolor{b l u e}{7}}\right) = 12 \times {10}^{\textcolor{red}{- 6} + \textcolor{b l u e}{7}} = 12 \times {10}^{1} = 12 \times 10 = 120$