Sure, let's simplify the expression step-by-step using the order of operations (PEMDAS/BODMAS):
Given:
[tex]\[ 16 + 12 \div 2^2 \][/tex]
1. Exponentiation: First, solve the exponent part of the expression.
[tex]\[ 2^2 = 4 \][/tex]
2. Division: Next, perform the division.
[tex]\[ 12 \div 4 = 3.0 \][/tex]
3. Addition: Finally, add the results.
[tex]\[ 16 + 3.0 = 19.0 \][/tex]
Thus, the simplified expression is:
[tex]\[ 19.0 \][/tex]