Let’s break down the expression step by step:
**Expression:**
\[ 6^2 \div 2(3) + 4 \]
1. **Exponentiation first**:
\[ 6^2 = 36 \]
Now the expression becomes:
\[ 36 \div 2(3) + 4 \]
2. **Division and multiplication** are performed from left to right (according to the order of operations, PEMDAS/BODMAS):
– First, do the division:
\[ 36 \div 2 = 18 \]
Now the expression is:
\[ 18(3) + 4 \]
3. **Multiplication** comes next:
\[ 18 \times 3 = 54 \]
Now the expression is:
\[ 54 + 4 \]
4. **Addition**:
\[ 54 + 4 = 58 \]
Thus, the correct answer is:
\[
\boxed{58}
\]
