# How do you multiply (2.05times10^8)times(3.2times10^14)?

Dec 12, 2016

$6.56 \times {10}^{22}$

#### Explanation:

First, we need to redistribute the terms:

$\left(2.05 \times 3.2\right) \times \left({10}^{8} \times {10}^{14}\right)$

We can can just multiply the term on the left:

$6.56 \times \left({10}^{8} \times {10}^{14}\right)$

The rule for multiplying like terms with exponents is:

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

Applying this to the term in parenthesis on the right gives:

$6.56 \times {10}^{8 + 14}$

$6.56 \times {10}^{22}$