How to take fourth root of a variable expression using product rule, fourth root(z^8 y^9)

The video tutorial explains how to solve a mathematical problem involving the 4th roots of variables Z and Y. The instructor presents two methods: a visual breakdown of multiplying variables by themselves and an algebraic approach using powers. The tutorial emphasizes understanding inverse operations and the importance of matching the power of variables with the index of the root. The final solution is presented in both methods, demonstrating their equivalence.

What are the two different ways to break apart the expression Z to the 8th?

Explain how to rewrite Z to the 8th as a product of Z multiplied by itself.

How can you express Y to the 9th in terms of multiplication?

What is the significance of the 4th root of Z to the 4th in relation to Z?

Describe the process of taking the 4th root of a product of variables.