How do you write and simplify (6.12433 * 10^6)/(7.15 * 10^-3) in scientific notation?

Feb 27, 2017

$0.856550 \times {10}^{3}$

Or

$8.56550 \times {10}^{2}$

Explanation:

First, rewrite the expression as:

$\left(\frac{6.12433}{7.15}\right) \left({10}^{6} / {10}^{-} 3\right)$

Next, divide the term on the left:

$0.856550 \times \left({10}^{6} / {10}^{-} 3\right)$ rounded.

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

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

$0.856550 \times {10}^{\textcolor{red}{6}} / {10}^{\textcolor{b l u e}{- 3}} = 0.856550 \times {10}^{\textcolor{red}{6} + \textcolor{b l u e}{- 3}} = 0.856550 \times {10}^{3}$

Or

$8.56550 \times {10}^{2}$