###### Example2.7.2

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 $$3\text{.}$$

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