The expression $(4 \cdot 4)^2$ can be solved as follows:

1. Calculate inside the parentheses first: $4 \cdot 4 = 16$

2. Then square the result: $16^2 = 256$

So, $(4 \cdot 4)^2 = 256$.

Would you like details on the steps, or have any questions?

1. How do parentheses affect the order of operations in expressions?
2. What are other ways to simplify expressions involving exponents?
3. How does this differ from $4 \cdot (4^2)$?
4. What happens if you raise $4$ to a higher power, like $4^3$?
5. How would this calculation change if we added instead of multiplied inside the parentheses?

Tip: Always solve inside parentheses first before applying exponents or multiplication outside!