# How do you simplify (6.12 x 10^4) / (3x10^2)?

May 17, 2018

See a solution process below:

#### Explanation:

First, rewrite the expression as:

$\frac{6.12}{3} \times {10}^{4} / {10}^{2} \implies$

$2.04 \times {10}^{4} / {10}^{2}$

Now, use this rule for exponents to simplify the 10s terms:

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

$2.04 \times {10}^{\textcolor{red}{4}} / {10}^{\textcolor{b l u e}{2}} \implies$

$2.04 \times {10}^{\textcolor{red}{4} - \textcolor{b l u e}{2}} \implies$

$2.04 \times {10}^{2}$

Or, in standard notation:

$2.04 \times 100 \implies$

$204$