Use the order of operations to simplify the expression.

2[4(9 – 7) + 1] ÷ 3

Can someone show me how to do this?

work your way from the inside, to get rid of parens and brackets:

2[4(9 – 7) + 1] ÷ 3
2[4(2) + 1] ÷ 3
2[8+1]÷3
Now do the multiply and divide, left to right:
2[9]÷3
18÷3
6

Sure! To simplify the expression using the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right), we need to follow these steps:

1. First, simplify the expression inside the parentheses (9 - 7), which gives us 2:

2[4(2) + 1] ÷ 3

2. Next, carry out the multiplication inside the brackets:

2[8 + 1] ÷ 3

3. Perform the addition inside the brackets:

2[9] ÷ 3

4. Now, we can simplify the expression by dividing 9 by 3:

2 * 3

5. Finally, multiply 2 by 3, which gives us the final answer:

6

Therefore, the simplified expression is 6.