Question

simplify.
$(4x)^2$
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 \((4x)^2\), we apply this rule where \(a = 4\), \(b = x\), and \(n = 2\). So we get \(4^2\times x^2\).

Step2: Calculate \(4^2\)

We know that \(4^2 = 4\times4 = 16\). Then, multiplying by \(x^2\), we have \(16x^2\).

Answer:

\(16x^2\)