# How do you simplify k(k^3)?

Jan 23, 2017

See the entire simplification process below:

#### Explanation:

We will use these two rules of exponents to simplify this expression:

$a = {a}^{\textcolor{red}{1}}$

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

We can rewrite this expression as:

$k \times {k}^{3} \to {k}^{1} \times {k}^{3} \to {k}^{1 + 3} \to {k}^{4}$