Answer:
First, the student performed what was inside of the parentheses and was exponential, which is correct. We know this because of the rules called order of operations, outlined by PEMDAS, which tells us to perform mathematical operations in the following order: parentheses, exponents, multiplication, division, addition, subtraction.
So by the rules I just outlined, next the student should have performed the multiplication, but instead performed subtraction, which is incorrect.
The following is the correct simplification of the expression:
23 - 8 times 2 + 3 by the power of 2
So first we should perform parentheses, but there are none. So we move to the next option in the list, which is exponents, which we do have (3^2).
23 - 8 * 2 + 3^2
23 - 8 * 2 + 9
Next in PEMDAS comes multiplication and division. This means the next step in simplifying the expression is to evaluate 8*2.
23 - 16 + 9
Next in PEMDAS is addition, so we should perform the operation -16 + 9.
23 - 7
Finally, the last step in PEMDAS is to simplify the remaining operation (subtraction).
16
Therefore, the student did the first step correctly but performed the second step incorrectly. The final answer should be 16 after simplification.
Hope this helps!
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