# How do you simplify (2.01times10^-4)(8.9times10^-3)?

Feb 13, 2017

See the entire simplification process below:

#### Explanation:

First, we can rewrite this expression as:

$\left(2.01 \times 8.9\right) \left({10}^{-} 4 \times {10}^{-} 3\right)$

$17.889 \left({10}^{-} 4 \times {10}^{-} 3\right)$

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

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

$17.889 \left({10}^{\textcolor{red}{- 4}} \times {10}^{\textcolor{b l u e}{- 3}}\right) = 17.889 \times {10}^{\textcolor{red}{- 4} + \textcolor{b l u e}{- 3}} =$

$17.889 \times {10}^{- 7}$

Or

$1.7889 \times {10}^{- 6}$