# How do you simplify x^3*y*y^4 and write it using only positive exponents?

Feb 10, 2017

See the entire simplification process below:

#### Explanation:

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

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

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

${x}^{3} \cdot y \cdot {y}^{\textcolor{b l u e}{4}} = {x}^{3} \cdot {y}^{\textcolor{red}{1}} \cdot {y}^{\textcolor{b l u e}{4}} = {x}^{3} \cdot {y}^{\textcolor{red}{1} + \textcolor{b l u e}{4}} = {x}^{3} \cdot {y}^{5} = {x}^{3} {y}^{5}$