###### Example 2.9.2

Simplify \(x^2\cdot x^3\text{.}\)

To simplify \(x^2\cdot x^3\text{,}\) we write this out in its expanded form, as a product of \(x\)'s, we have

\begin{align*}
x^2\cdot x^3 \amp=(x\cdot x)(x \cdot x \cdot x)\\
\amp=x\cdot x\cdot x \cdot x \cdot x\\
\amp=x^5
\end{align*}

Note that we obtained the exponent of \(5\) by adding \(2\) and \(3\text{.}\)