# How do you calculate (9.4 times 10^6) / (4.97 times 10^2)?

Apr 4, 2017

See the entire solution process below:

#### Explanation:

First, rewrite this expression as:

$\frac{9.4}{4.97} \times {10}^{6} / {10}^{2} \to 1.89 \times {10}^{6} / {10}^{2}$ Rounded to the nearest hundredth.

Next, use this rule of exponents to divide the 10s terms:

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

$1.89 \times {10}^{\textcolor{red}{6}} / {10}^{\textcolor{b l u e}{2}} \to 1.89 \times {10}^{\textcolor{red}{6} - \textcolor{b l u e}{2}} \to 1.89 \times {10}^{4}$