Final answer:
The correct answer is option 3. To solve 36 divided by (4 plus 2 to the power of 3), first calculate 2 to the power of 3, which is 8, add it to 4 to get 12, and then divide 36 by 12 to get 3.
Step-by-step explanation:
The correct answer to the question is 36 divided by (4 plus 2 to the power of 3). To solve this, we first need to perform the operation inside the parentheses. According to the order of operations, we must address the exponent before adding. So, 2 to the power of 3 is 23, which equals 8. Now we add this to 4, giving us 4 + 8 = 12. Then we divide 36 by the sum we just calculated: 36 ÷ 12.
The final step is simple division: 36 divided by 12 equals 3. Therefore, the correct answer is option 3.
To solve this problem, we need to follow the order of operations (PEMDAS/BODMAS). First, we compute the exponent, which is 2 raised to the power of 3, giving us 8. Next, we add 4 and 8, resulting in 12. Finally, we divide 36 by 12, which equals 3.