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.