# How do you simplify \frac{1.88\times 10^{6}}{2.0\times 10^{3}}?

Sep 1, 2017

See a solution process below:

#### Explanation:

First, rewrite the expression as:

$\left(\frac{1.88}{2.0}\right) \times \left({10}^{6} / {10}^{3}\right) \implies 0.94 \times \left({10}^{6} / {10}^{3}\right)$

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

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

$0.94 \times \left({10}^{\textcolor{red}{6}} / {10}^{\textcolor{b l u e}{3}}\right) \implies 0.94 \times {10}^{\textcolor{red}{6} - \textcolor{b l u e}{3}} = 0.94 \times {10}^{3}$

To write this in standard scientific notation we need to move the decimal point on place to the right so we need to subtract 1 from the 10s exponent:

$0.94 \times {10}^{3} \implies 9.4 \times {10}^{2}$