Algebra-2

Question Analysis
This problem assesses the student's ability to simplify a division of radical expressions with a fourth root.

Key Concept Explanation
When dividing two radicals with the same index, the quotient of the radicands becomes the new radicand. For even indices, the radicands must be non-negative, and the denominator's radicand must be positive.

Step-by-step Solution
1. Confirm conditions: Index = 4 (even); radicands 162w⁵ ≥ 0, 2w > 0; same index.
2. Separate coefficients and radicals: