Simplifying a radical expression by using prime factorization of the number

The video tutorial explains the concept of cube roots, demonstrating how to find them using prime factorization. It provides examples of numbers whose cube roots can be easily calculated, such as 8, 27, and 64. The tutorial also covers rewriting expressions to simplify the process of finding cube roots, particularly focusing on expressions involving variables. The instructor emphasizes understanding the method and provides step-by-step guidance to ensure comprehension.

Explain how to rewrite the expression X^3 * X * Y^2 for finding the cube root.

What are the two methods mentioned for finding cube roots?