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10. Evaluate the expression \((ab)^2\) for \(a=2\) and \(b=5\).

A. 100
B. 20
C. 625
D. 50


Sagot :

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]