# How do you simplify and write 18,500*2,250 in scientific notation?

Feb 14, 2017

See the entire solution process below:

#### Explanation:

First, we can convert each term into scientific notation:

$\left(1.85 \times {10}^{4}\right) \cdot \left(2.25 \times {10}^{3}\right)$

We can now rewrite this expression as:

$\left(1.85 \times 2.25\right) \left({10}^{4} \times {10}^{3}\right)$

$4.1625 \times \left({10}^{4} \times {10}^{3}\right)$

We can now use this rule for exponents to simplify the 10s terms: ${x}^{\textcolor{red}{a}} \times {x}^{\textcolor{b l u e}{b}} = {x}^{\textcolor{red}{a} + \textcolor{b l u e}{b}}$

$4.1625 \times \left({10}^{\textcolor{red}{4}} \times {10}^{\textcolor{b l u e}{3}}\right) = 4.1625 \times {10}^{\textcolor{red}{4} + \textcolor{b l u e}{3}} =$

$4.1625 \times {10}^{7}$