A student simplified (the cube root of 64 − 10 ÷ 2)(5 − 7)2 using the following steps:
(the cube root of 64 − 10 ÷ 2)(5 − 7)2
Step 1: (4 − 10 ÷ 2)(5 − 7)2 Simplify the cube root.
Step 2: (−6 ÷ 2)(5 − 7)2 Subtract within first parentheses.
Step 3: −3(5 − 7)2 Divide within the first parentheses.
Step 4: −3(5 − 49) Simplify the exponent.
Step 5: −3(−44) Subtract within the parentheses.
Step 6: 132 Multiply.
Part A: The student made a mistake in Step 2. Describe the mistake and explain how to correct it. (3 points)
Part B: The student made a mistake in Step 4. Describe the mistake and explain how to correct it. (3 points)
Part C: Show every step of your work to simplify (the cube root of 64 − 10 ÷ 2)(5 − 7)2. (6 points)
