The expression provided is $(8w)^2$.

To simplify it:

$(8w)^2 = 8^2 \times w^2$

$8^2 = 64$

Thus, the simplified form is:

$64w^2$

So, the answer is $64w^2$.

Do you want further details or have any questions?

Here are 5 related questions:

1. How would you simplify $(3x)^3$?
2. What is the difference between $(8w)^2$ and $8w^2$?
3. Can you explain the power of a product rule in exponents?
4. How would you simplify $(2ab)^3$?
5. What happens when you raise a binomial, like $(x + 2)$, to a power?

Tip: When raising a product inside parentheses to a power, apply the exponent to both the numerical coefficient and the variable separately.