Part A: in step 2, the student did 4-16 = -12 but the student should have done the 16 / 2 part of the first set of parentheses FIRST because remember order of operations - - - PEMDAS - - - that means that you do DIVISION before you do subtraction.
So step 2 should have been:
(4-8)(2-4)^2
(just do 16/2 = 8 in the first set of parentheses)
Part B:
Note that Step 3 changes to
(4-8)(2-4)^2
Now Step 4, the student did 2-
. That's not correct. The student should have done the PARENTHESES first (remember, PEMDAS), then do the exponent.
= (-4)(2-4)^2 do the subtraction inside the parentheses FIRST!
= -4(-2)^2 now do the exponent
= -4*4
= -16
Part C:
![=\sqrt[3]{64}-16/2) (2-4)^(2) = (4-16/2)(2-4)^(2) = (4-8)(-2)^(2) = -4 * 4 = -16](https://img.qammunity.org/2024/formulas/mathematics/high-school/3knadmk3w0firlf44ugvostfhg4p82er3b.png)