Answer :
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]
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]
