Question 13 (Essay Worth 12 points) (Order of Operations with Radicals HC) 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) Question 14 (Essay Worth 12 points) (Scientific Notation in the Real World HC) A company is designing a rectangular computer chip that is 8.14 × 10−7 meters long and 3.6 × 10−9 meters wide. Part A: Determine the area of the computer chip. Show every step of your work. (3 points) Part B: Write the area in scientific notation with the correct number of significant digits, and label with the appropriate units. (3 points) Part C: Determine the perimeter of the computer chip. Show every step of your work. (3 points) Part D: Write the perimeter in scientific notation with the correct number of significant digits, and label with the appropriate units. (3 points) You must check the box below prior to submitting your exam! Check this box to indicate you are ready to submit your exam FDK141.12