Question

simplify.
(3w)^4
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 \((3w)^4\), we can apply this rule, where \(a = 3\), \(b = w\), and \(n = 4\). So we get \(3^4\times w^4\).

Step2: Calculate \(3^4\)

We know that \(3^4=3\times3\times3\times3 = 81\).

Step3: Combine the results

Substituting the value of \(3^4\) back, we have \(81\times w^4=81w^4\).

Answer:

\(81w^4\)