# How do you simplify (4.3times10^-3)(4.5times10^4)?

Feb 5, 2017

See the entire simplification process below:

#### Explanation:

First, group like terms to rewrite the expression:

$\left(4.3 \times {10}^{-} 3\right) \left(4.5 \times {10}^{4}\right) \to \left(4.3 \times 4.5\right) \left({10}^{-} 3 \times {10}^{4}\right)$

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

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

$\left(4.3 \times 4.5\right) \left({10}^{\textcolor{red}{- 3}} \times {10}^{\textcolor{b l u e}{4}}\right) \to 19.35 \times {10}^{\textcolor{red}{- 3} + \textcolor{b l u e}{4}} \to$

$19.35 x {10}^{1} \to 19.35 \times 10 \to 193.5$

Or

$1.935 \times {10}^{2}$ in scientific notation form.