# How do you simplify x^3 * 2x^5?

Mar 6, 2018

See a solution process below:

#### Explanation:

First, rewrite the expression as:

$2 \left({x}^{3} \cdot {x}^{5}\right)$

Then use this rule for exponents to complete the simplification:

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

$2 \left({x}^{\textcolor{red}{3}} \times {x}^{\textcolor{b l u e}{5}}\right) \implies$

$2 {x}^{\textcolor{red}{3} + \textcolor{b l u e}{5}} \implies$

$2 {x}^{8}$