Question

simplify the expression. (6g)^3 the simplified expression is \boxed{}.

Explanation:

Step1: Apply the power of a product rule

The power of a product rule states that \((ab)^n = a^n b^n\). For the expression \((6g)^3\), we can apply this rule where \(a = 6\), \(b = g\), and \(n = 3\). So we get \(6^3\times g^3\).

Step2: Calculate \(6^3\)

We know that \(6^3=6\times6\times6 = 216\).

Step3: Combine the results

Substituting the value of \(6^3\) back, we have \(216\times g^3=216g^3\).

Answer:

\(216g^3\)