# How do you evaluate (6.6times10^5)/(2times10^-3)?

Jun 28, 2017

See a solution process below:

#### Explanation:

First, rewrite the expression as:

$\left(\frac{6.6}{2}\right) \times \left({10}^{5} / {10}^{-} 3\right) = 3.3 \times \left({10}^{5} / {10}^{-} 3\right)$

Now, using this rule for exponents we can complete the evaluation:

${x}^{\textcolor{red}{a}} / {x}^{\textcolor{b l u e}{b}} = {x}^{\textcolor{red}{a} - \textcolor{b l u e}{b}}$

$3.3 \times \left({x}^{\textcolor{red}{5}} / {x}^{\textcolor{b l u e}{- 3}}\right) = 3.3 \times {x}^{\textcolor{red}{5} - \textcolor{b l u e}{- 3}} = 3.3 \times {x}^{\textcolor{red}{5} + \textcolor{b l u e}{3}} =$

$3.3 \times {10}^{8}$

Or, in standard terms, we can move the decimal place 8 places to the right because the exponent for the 10s term is positive:

$3.3 \times {10}^{8} = 330 , 000 , 000$