Question

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

Answer 1

Using the order of operations (PEMDAS/BODMAS), we simplify the given expression step by step:

Step 1: Evaluate exponentiation (powers):
12 - 2^3 + 4 ÷ 2 + 2^4
= 12 - 8 + 4 ÷ 2 + 16

Step 2: Perform multiplication and division, working from left to right:
= 12 - 8 + 2 + 16
= 18 + 2 + 16

Step 3: Perform addition and subtraction, working from left to right:
= 20 + 16
= 36

So, the simplified value of the expression is 36.