https://file.aiquickdraw.com/mathbot/file/172607214012869q8alc6.jpg

The expression given in the image is:

\[
(a^2 \times a)^3
\]

Let's break it down step by step:

1. **Simplifying Inside the Parentheses:**
   - Apply the product of powers rule: \( a^m \times a^n = a^{m+n} \).
   - So, \( a^2 \times a = a^{2+1} = a^3 \).

2. **Now Raise to the Power of 3:**
   - Use the power of a power rule: \( (a^m)^n = a^{m \times n} \).
   - So, \( (a^3)^3 = a^{3 \times 3} = a^9 \).

Therefore, the simplified expression is:

\[
a^9
\]

Would you like more details or have any questions? Here are five related questions to explore:

1. How do you simplify expressions with multiple powers?
2. What happens if there is a coefficient along with the variables?
3. How does the power of a product rule work for multiple terms?
4. How can you simplify expressions with negative exponents?
5. What is the rule for distributing exponents over addition?

**Tip:** When dealing with exponents, always apply the product and power rules carefully, keeping track of each step to avoid mistakes.

Learn how to simplify the exponential expression (a^2 × a)^3 using the product of powers and power of a power rules. This algebra problem is perfect for students in Grades 7-9 looking to strengthen their understanding of exponent rules.

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