Simplify the expression (10 – 8)3 ÷ 2. *(Make sure to use the correct order of operations)(Show all steps)
To simplify the given expression, we will follow the order of operations, often remembered by the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Here is the expression: (10 – 8)3 ÷ 2
Let's simplify it step by step:
Step 1: Parentheses
First, we solve the expression inside the parentheses.
10 – 8 = 2
Now the expression looks like this: 2 * 3 ÷ 2
Step 2: Multiplication and Division
Since there are no exponents, we move on to multiplication and division, which we do from left to right.
First, we have multiplication:
2 * 3 = 6
Now we have: 6 ÷ 2
Next, we do the division:
6 ÷ 2 = 3
Step 3: Addition and Subtraction
There is no addition or subtraction left to do.
The simplified expression is 3.