Question

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

Step2: Calculate \(3^4\)

\(3^4=3\times3\times3\times3 = 81\).

Step3: Combine the results

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

Answer:

\(81v^4\)