The expression shown in the image is $((-3)^2)^5$.

Let's break it down step by step:

1. First, simplify the inside of the parentheses: $(-3)^2 = (-3) \times (-3) = 9$ So the expression becomes: $9^5$

2. Now, calculate $9^5$: $9^5 = 9 \times 9 \times 9 \times 9 \times 9 = 59,049$

Thus, the value of the expression $((-3)^2)^5$ is 59,049.

Would you like a further breakdown or any additional details? Here are five related questions to extend your understanding:

1. What is the general rule for simplifying expressions with nested exponents?
2. How do negative bases behave under even and odd exponents?
3. What is the difference between $(-3)^2$ and $-3^2$?
4. How would the result change if the exponent were odd?
5. What are some common mistakes made when simplifying powers?

Tip: Always take care with parentheses when working with negative numbers raised to powers!