# How do you find the product (10x)(4x^7)?

Apr 3, 2017

See the entire solution process below:

#### Explanation:

First, rewrite this expression as:

$\left(10 \cdot 4\right) \left(x \cdot {x}^{7}\right) = 40 \left(x \cdot {x}^{7}\right)$

Now, use these two rules for exponents to complete the multiplication:

$a = {a}^{\textcolor{red}{1}}$ and ${x}^{\textcolor{red}{a}} \times {x}^{\textcolor{b l u e}{b}} = {x}^{\textcolor{red}{a} + \textcolor{b l u e}{b}}$

$40 \left(x \cdot {x}^{7}\right) = 40 \left({x}^{\textcolor{red}{1}} \cdot {x}^{\textcolor{b l u e}{7}}\right) = 40 {x}^{\textcolor{red}{1} + \textcolor{b l u e}{7}} = 40 {x}^{8}$