# How do you simplify (2.58times10^2)(3.6times10^6)?

May 16, 2017

See a solution process below:

#### Explanation:

First, rewrite this expression as:

$\left(2.58 \times 3.6\right) \left({10}^{2} \times {10}^{6}\right) \implies 9.288 \times \left({10}^{2} \times {10}^{6}\right)$

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

$9.288 \times \left({10}^{\textcolor{red}{2}} \times {10}^{\textcolor{b l u e}{6}}\right) = 9.288 \times {10}^{\textcolor{red}{2} + \textcolor{b l u e}{6}} \implies$

$9.288 \times {10}^{8}$