The expression $a \times a^2$ can be simplified using the properties of exponents.

According to the rule $a^m \times a^n = a^{m+n}$, where $m$ and $n$ are exponents:

$a \times a^2 = a^{1+2} = a^3$

So, $a \times a^2$ simplifies to $a^3$.

Would you like any further details or have any questions? Here are some related questions:

1. How do you simplify $a^2 \times a^3$?
2. What is the general rule for multiplying expressions with the same base?
3. How would you simplify $b \times b^4 \times b^2$?
4. How do you simplify $a^n \times a^m \times a^p$?
5. Can you simplify $x \times x \times x^2$?

Tip: When multiplying exponents with the same base, you add the exponents together.