Question

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

Step2: Calculate \(2^4\)

We know that \(2^4 = 2\times2\times2\times2 = 16\).

Step3: Combine the results

Substituting the value of \(2^4\) back, we have \(16\times u^4 = 16u^4\).

Answer:

\(16u^4\)