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.

Learn how to simplify the expression a × a^2 using the properties of exponents. This problem covers key algebraic concepts and is suitable for students in Grades 6-8.

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