A student simplified (cube root of 125 − 12 ÷ 2)(4 − 6)2 using the following steps:

(cube root of 125 − 12 ÷ 2)(4 − 6)2


Step 1: (5 − 12 ÷ 2)(4 − 6)2 Simplify the cube root.
Step 2: (−13 ÷ 2) (4 − 6)2 Subtract within first parentheses.
Step 3: −6.5(4 − 6)2 Divide within the first parentheses.
Step 4: −6.5(4 − 36) Simplify the exponent.
Step 5: −6.5(−32) Subtract within the parentheses.
Step 6: 208 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 (cube root of 125 − 12 ÷ 2)(4 − 6)2. (6 points)