Question

simplify.
(4x)³
write your answer without parentheses.

Explanation:

Step1: Apply power of a product rule

The power of a product rule states that \((ab)^n = a^n b^n\). For \((4x)^3\), we apply this rule where \(a = 4\), \(b = x\), and \(n = 3\). So we get \(4^3\times x^3\).

Step2: Calculate \(4^3\)

We know that \(4^3=4\times4\times4 = 64\).

Step3: Combine the results

Substituting the value of \(4^3\) back, we have \(64\times x^3=64x^3\).

Answer:

\(64x^3\)