# How do you write the answer in scientific notation given (5.8times10^-7)(8.1times10^12)?

Feb 25, 2017

$46.98 \times {10}^{5}$ or $4.698 \times {10}^{6}$

#### Explanation:

Rewrite this expression as:

$\left(5.8 \times 8.1\right) \left({10}^{-} 7 \times {10}^{12}\right)$

$46.98 \left({10}^{-} 7 \times {10}^{12}\right)$

Now, use this rule of exponents to multiply the 10s terms:

${x}^{\textcolor{red}{a}} \times {x}^{\textcolor{b l u e}{b}} = {x}^{\textcolor{red}{a} + \textcolor{b l u e}{b}}$

$46.98 \times {10}^{\textcolor{red}{- 7} + \textcolor{b l u e}{12}} = 46.98 \times {10}^{5}$ or $4.698 \times {10}^{6}$