# How do you simplify (1.6times10^-5)(2.3times10^-3)?

May 13, 2017

See a solution process below:

#### Explanation:

First, rewrite the expression as:

$\left(1.6 \times 2.3\right) \left({10}^{-} 5 \times {10}^{-} 3\right) \implies 3.68 \left({10}^{-} 5 \times {10}^{-} 3\right)$

We can now use this rule of exponents to simplify the 10s terms:

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

3.68(10^color(red)(-5) xx 10^color(blue)(-3) => 3.68 xx 10^(color(red)(-5) + color(blue)(-3)) =>

$3.68 \times {10}^{-} 8$