Final answer:
To simplify the expression using the order of operations, evaluate the parentheses, exponents, and perform multiplication and division in order. The final answer is 5.375.
Step-by-step explanation:
To simplify the expression 6 squared - (5 - 4) + 2(8 - 2 squared) divided by 8 using the order of operations, follow these steps:
- Start with the parentheses. Evaluate 5 - 4, which equals 1.
- Next, evaluate 2 squared, which equals 4.
- Then, solve the expression inside the brackets. Subtract 4 from 8, which equals 4.
- Multiply 2 by 4, which equals 8.
- Now, simplify the expression by substituting the evaluated values. Start with 6 squared (6 * 6 = 36).
- Subtract 1 from 36, which equals 35.
- Add 8 to 35, which equals 43.
- Finally, divide 43 by 8, which equals 5.375.
Therefore, the simplified value of the expression is 5.375.