Question

simplify.
(7wu²)²
write your answer without parentheses.

Explanation:

Step1: Apply power of a product rule

The power of a product rule states that \((ab)^n = a^n b^n\). So for \((7wu^2)^2\), we can apply this rule to each factor inside the parentheses. That gives us \(7^2 \times w^2 \times (u^2)^2\).

Step2: Simplify each term

First, calculate \(7^2 = 49\). Then, for the exponent of \(u\), we use the power of a power rule \((a^m)^n = a^{mn}\). So \((u^2)^2 = u^{2\times2}=u^4\). And \(w^2\) remains as it is. Now, multiply all the simplified terms together: \(49\times w^2\times u^4 = 49w^2u^4\).

Answer:

\(49w^2u^4\)