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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.

Simplify (8w)^2. Write your answer without parentheses.

Learn how to simplify the expression (8w)^2 by applying the power of a product rule. This step-by-step explanation demonstrates exponentiation of both a coefficient and a variable, suitable for students in Grades 6-8.

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