use the order of operation to simplify 12- 2^3 plus 4 devided by 2 plus 2^4
To simplify the expression using the order of operations, we follow the acronym PEMDAS:
P - Parentheses (or brackets)
E - Exponents (or powers)
MD - Multiplication and Division (from left to right)
AS - Addition and Subtraction (from left to right)
Given expression: 12 - 2^3 + 4 / 2 + 2^4
1. Calculate the exponents:
2^3 = 8
2^4 = 16
Updated expression: 12 - 8 + 4 / 2 + 16
2. Perform division:
4 / 2 = 2
Updated expression: 12 - 8 + 2 + 16
3. Perform addition and subtraction from left to right:
12 - 8 = 4
4 + 2 = 6
6 + 16 = 22
Final simplified expression: 22