Question

simplify.
(7y)^2
write your answer without parentheses.

Explanation:

Step1: Apply power of a product rule

The power of a product rule states that \((ab)^n = a^n b^n\). For \((7y)^2\), we apply this rule where \(a = 7\), \(b = y\), and \(n = 2\). So we get \(7^2\times y^2\).

Step2: Calculate \(7^2\)

We know that \(7^2=7\times7 = 49\). Then, multiplying by \(y^2\), we have \(49y^2\).

Answer:

\(49y^2\)