# How do you simplify (2times10^7)(9times10^-3)?

Feb 13, 2017

See the entire simplification process below:

#### Explanation:

We can rewrite this expression as:

$\left(2 \times 9\right) \left({10}^{7} \times {10}^{- 3}\right) \to$

$18 \left({10}^{7} \times {10}^{- 3}\right)$

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

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

$18 \left({10}^{\textcolor{red}{7}} \times {10}^{\textcolor{b l u e}{- 3}}\right) = 18 \times {10}^{\textcolor{red}{7} + \textcolor{b l u e}{- 3}} = 18 \times {10}^{4}$

Or

180,000