Question

Evaluate [(7^2-9)/8]^2 using the order of operations.
A. 1
B. 4
C. 9
D. 16

Answer 1

The expression [(7^2-9)/8]^2 is evaluated using the order of operations to get a result of 25. However, this result does not match any of the provided answer options, suggesting a possible mistake in the given choices.

Step-by-step explanation:

To evaluate the expression [(7^2-9)/8]^2, we must follow the order of operations, which is commonly abbreviated as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

1. First, we handle the parentheses by calculating 7^2, which is 49.
2. Next, we subtract 9 from 49 to get 40.
3. Then, we divide 40 by 8, which gives us 5.
4. Finally, we take the result and square it (since it's inside the second set of parentheses followed by an exponent), and 5^2 is 25.

However, none of the answer choices (A. 1, B. 4, C. 9, D. 16) match our result of 25. It is possible that there might be a mistake in the given options or in the initial problem setup.