Simplify the 5th root of an expression using a factor tree and product prop

The video tutorial explains how to find the 5th root of 64Y^10. It begins by introducing the concept of the 5th root and proceeds to create a factor tree for 64 to find its prime factorization. The tutorial then simplifies Y^10 by expressing it in terms of Y^2. The instructor demonstrates how to calculate the 5th root by grouping factors and concludes with the final answer, 2Y^2 times the 5th root of 2.

What is the prime factorization of 64?

• 4 * 4 * 4

• 2 * 2 * 2 * 2 * 2 * 2

• 8 * 8

• 16 * 4

How many times do you need to multiply Y^2 by itself to get Y^10?

• 10 times

• 5 times

• 2 times

• 3 times

What is the 5th root of Y^5?

• Y

• Y^2

• Y^3

• Y^5

What is the result of taking the 5th root of 5 twos multiplied together?

• 1

• 2

• 4

• 8

What is the final answer for the 5th root of 64Y^10?

• 2Y^2 times the 5th root of 2

• 2Y times the 5th root of 4

• Y^2 times the 5th root of 8

• Y^2 times the 5th root of 64