Question

simplify.
$(5w)^3$
write your answer without parentheses.

Explanation:

Step1: Apply the power of a product rule

The power of a product rule states that \((ab)^n = a^n b^n\). For \((5w)^3\), we apply this rule: \(5^3 \times w^3\).

Step2: Calculate \(5^3\)

\(5^3 = 5\times5\times5 = 125\).

Step3: Combine the results

Combining \(5^3 = 125\) and \(w^3\), we get \(125w^3\).

Answer:

\(125w^3\)