Question

Use the order of operations to simplify 12−2^3+4÷2+2^4 .(1 point) 14 14 22 22 24 24 20 20

Answer 1

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

1. Calculate the powers:
- \( 2^3 = 8 \)
- \( 2^4 = 16 \)

Now the expression looks like:
\[
12 - 8 + 4 \div 2 + 16
\]

2. Next, perform the division:
- \( 4 \div 2 = 2 \)

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

3. Now, perform the operations from left to right:
- Start with \( 12 - 8 = 4 \)
- Then, \( 4 + 2 = 6 \)
- Finally, \( 6 + 16 = 22 \)

So, the simplified value of the expression is:
\[
\boxed{22}
\]