Part A: The student was supposed to divide before subtracting
Part B: The student was supposed to simplify the parentheses before finding the exponents
Part C: The simplification of the expression gives -16.
From the question, we are to simplify the given expression
The given expression is
(∛64 - 16 ÷ 2)(2 - 4)²
Part A:
The mistake the student made was not applying the PEMDAS rule
P - Parentheses
E - Exponent
M - Multiplication
D - Division
A - Addition
S - Subtraction
Since division comes before subtraction, the student was supposed to divide before subtracting
Part B:
The student mistake was trying to simplify the exponent before simplifying the parentheses. The student was supposed to simplify the parentheses before finding the exponents.
Part C:
Simplifying the expression
(∛64 - 16 ÷ 2)(2 - 4)²
Simplify the cube root
(4 - 16 ÷ 2)(2 - 4)²
Divide
(4 - 8)(2 - 4)²
Simplify the parenthesis
(-4)(-2)²
Simplify the exponent
(-4)(4)
Evaluating
-16
Hence, the simplification of the expression gives -16.
Learn more on Simplifying an expression here: https://brainly.com/question/11812662
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