# How do you write the answer in scientific notation given (9.9times10^9)/(1.5times10^8)?

May 26, 2017

See a solution process below:

#### Explanation:

First, rewrite this expression as:

$\left(\frac{9.9}{1.5}\right) \times \left({10}^{9} / {10}^{8}\right) \implies 0.16 \times \left({10}^{9} / {10}^{8}\right)$

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

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

$0.16 \times \left({10}^{\textcolor{red}{9}} / {10}^{\textcolor{b l u e}{8}}\right) = 0.16 \times {10}^{\textcolor{red}{9} - \textcolor{b l u e}{8}} \implies 0.16 \times {10}^{1}$

We now need to move the decimal point one place to the left so we need to subtract $1$ from the 10s term:

$0.16 \times {10}^{1} \implies 1.6 \times {10}^{1 - 1} \implies 1.6 \times {10}^{0}$