The expression in the image is:

$\left( \frac{3 \cdot 2^2 \cdot 2^5}{8 \cdot 3^2} \right)^3 \cdot \left( \frac{2 \cdot 3^5 \cdot 2^2}{3^3 \cdot 2^8} \right)^2$

To simplify, we can break it down step-by-step.

1. Simplify each fraction inside the parentheses by combining like terms.
2. Apply the exponents to each part of the simplified fraction.
3. Combine the results by multiplying.

Would you like a detailed breakdown of these steps?

Here are some questions that expand on this:

1. How do we handle exponents when simplifying expressions like this?
2. What are common rules for working with powers in fractions?
3. Can we cancel out terms before applying the exponents?
4. How do we combine terms with the same base?
5. What happens if any terms reduce to 1?

Tip: Always simplify the fraction inside the parentheses before applying the outer exponent; it saves time and reduces calculation complexity.