Use the order of operations to simplify 12−2^3+4÷2+2^4

Question

.(1 point)
Responses

20
20

24
24

14
14

22

Answer 1

To simplify the expression \( 12 - 2^3 + 4 \div 2 + 2^4 \), we will follow the order of operations (PEMDAS/BODMAS):

1. Evaluate the exponents:

   • \( 2^3 = 8 \)
   • \( 2^4 = 16 \)

   So now, the expression is: \[ 12 - 8 + 4 \div 2 + 16 \]

2. Evaluate the division:

   • \( 4 \div 2 = 2 \)

   Now, the expression simplifies to: \[ 12 - 8 + 2 + 16 \]

3. Perform the addition and subtraction from left to right:

   • First, \( 12 - 8 = 4 \)
   • Then, \( 4 + 2 = 6 \)
   • Finally, \( 6 + 16 = 22 \)

Therefore, the simplified result is \( 22 \).

The correct response is: 22