Question

simplify.
(6v)²
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 \((6v)^2\), we apply this rule where \(a = 6\), \(b = v\), and \(n = 2\). So we get \(6^2\times v^2\).

Step2: Calculate \(6^2\)

\(6^2=6\times6 = 36\). Then we multiply this by \(v^2\), so we have \(36v^2\).

Answer:

\(36v^2\)