To evaluate the expression \((a \cdot b)^2\) for the given values \(a = 2\) and \(b = 5\), follow these steps:
1. Substitute the values of \(a\) and \(b\) into the expression:
[tex]\[
(2 \cdot 5)^2
\][/tex]
2. Calculate the product inside the parentheses:
[tex]\[
2 \cdot 5 = 10
\][/tex]
3. Square the result obtained from the multiplication:
[tex]\[
10^2 = 100
\][/tex]
So, the evaluated expression \((a \cdot b)^2\) for \(a = 2\) and \(b = 5\) is \(100\). Therefore, the correct answer is:
[tex]\[
100
\][/tex]