To solve the given mathematical expression, we need to follow the order of operations (PEMDAS/BODMAS). First, we evaluate the exponent, then perform the multiplication, and finally, add the result to the initial number.
Step 1: Evaluate the Exponent
First, we evaluate the exponent in the expression \(4^2\):
\[
4^2 = 16
\]
Step 2: Perform the Multiplication
Next, we multiply the result of the exponentiation by 3:
\[
3 \times 16 = 48
\]
Step 3: Add the Result to the Initial Number
Finally, we add the result of the multiplication to the initial number 4:
\[
4 + 48 = 52
\]