Algebra-2

Question Analysis
This problem assesses the ability to simplify a division of cube root expressions with coefficients by recognizing and applying the extended formula for dividing radicals.

Key Concept Explanation
When dividing two radicals with the same index, the index remains unchanged. The quotient of the numerators’ coefficients and the denominators’ coefficients becomes the new coefficient, and the quotient of the numerator’s radicand and the denominator’s radicand becomes the new radicand.

Step-by-step Solution
1. Confirm conditions: Index = 3 (odd); radicands 16y ∈ ℝ, 2y ≠ 0; same index.
2. Separate coefficients and radicals: