# How do you evaluate the expression (18 xx 10^4) -: (6 xx 10^3)?

Feb 13, 2017

First, we can rewrite this expression as:

$\frac{18 \times {10}^{4}}{6 \times {10}^{3}}$

Which we can again rewrite as:

$\frac{18}{6} \times {10}^{4} / {10}^{3} = 3 \times {10}^{4} / {10}^{3}$

We can now divide the 10s terms using this rule for exponents:

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

$3 \times {10}^{\textcolor{red}{4}} / {10}^{\textcolor{b l u e}{3}} = 3 \times {10}^{\textcolor{red}{4} - \textcolor{b l u e}{3}} = 3 \times {10}^{1}$