# How do you simplify (4.6 times 10^-3)(3 times 10^-1)?

##### 1 Answer
Feb 1, 2017

See the entire simplification process below:

#### Explanation:

We can group like terms and rewrite this expression as:

$\left(4.6 \times 3\right) \left({10}^{-} 3 \times {10}^{-} 1\right)$

Now, use this rule for exponents and multiply:

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

$13.8 \times {10}^{- 3 + - 1}$

$13.8 \times {10}^{-} 4$ or $1.38 \times {10}^{-} 3$