How do you simplify (9.5times10^-3)/(6.1times10)?

Jul 21, 2017

See a solution process below:

Explanation:

First, rewrite the expression as:

$\left(\frac{9.5}{6.1}\right) \times \left({10}^{-} \frac{3}{10}\right) \implies 1.557 \times \left({10}^{-} \frac{3}{10}\right)$

Now, use these rules of exponents to simplify the 10 terms:

$a = {a}^{\textcolor{b l u e}{1}}$ and ${x}^{\textcolor{red}{a}} / {x}^{\textcolor{b l u e}{b}} = {x}^{\textcolor{red}{a} - \textcolor{b l u e}{b}}$

$1.557 \times \left({10}^{-} \frac{3}{10}\right) \implies 1.557 \times \left({10}^{\textcolor{red}{- 3}} / {10}^{\textcolor{b l u e}{1}}\right) \implies$

$1.557 \times {10}^{\textcolor{red}{- 3} - \textcolor{b l u e}{1}} \implies$

$1.557 \times {10}^{-} 4$ rounded to the nearest thousandth.