# How do you write the answer in scientific notation given (5.4times10^-5)(1.8times10^-1)?

Mar 24, 2017

See the entire solution process below:

#### Explanation:

First, rewrite this expression as:

$\left(5.4 \times 1.8\right) \times \left({10}^{-} 5 \times {10}^{-} 1\right) = 9.72 \times \left({10}^{-} 5 \times {10}^{-} 1\right)$

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

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

$9.72 \times \left({10}^{\textcolor{red}{- 5}} \times {10}^{\textcolor{b l u e}{- 1}}\right) = 9.72 \times {10}^{\textcolor{red}{- 5} + \textcolor{b l u e}{- 1}} =$

$9.72 \times {10}^{-} 6$