# How do you simplify (x^3)(4x^5)?

May 20, 2017

See a solution process below:

#### Explanation:

First, rewrite this expression as:

$4 \left({x}^{3} {x}^{5}\right)$

Now, use this rule of exponents to complete the simplification:

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

$4 \left({x}^{\textcolor{red}{3}} {x}^{\textcolor{b l u e}{5}}\right) \implies 4 {x}^{\textcolor{red}{3} + \textcolor{b l u e}{5}} \implies 4 {x}^{8}$