Simplify the Expression: a² × a³ Using Power Rules

To solve the given problem, we need to simplify the expression $a^2 \times a^3$ using the rules of exponents.

We use the rule for multiplying powers with the same base, which states:

• If you have $a^m \times a^n$, the result is $a^{m+n}$.

Let's apply this rule to the given expression:

$a^2 \times a^3 = a^{2+3}$

Simplifying the exponents, we get:

$a^{2+3} = a^5$

In the context of choosing from the given options, the answer corresponding to the application of the multiplication rule before final simplification is:

$a^{2+3}$