Final answer:
The expression 3^3 * 32 + 12 ÷ 4 follows the order of operations and after calculation gives us a final answer of 867.
Step-by-step explanation:
To solve the expression 3^3 * 32 + 12 ÷ 4, we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition, and Subtraction). First, we calculate the exponent: 3^3 which equals 27. Next, we perform the multiplication: 27 * 32, resulting in 864. Then, we execute the division: 12 ÷ 4, which equals 3. Finally, we add the results of the multiplication and division together: 864 + 3, yielding a final answer of 867.