Learn how to take the fourth root of a variable expression, fourth root

The video tutorial explains how to use a factor tree to break down the number 64 into its prime factors, demonstrating that 64 equals 2 to the 6th power. It then covers simplifying exponents and rewriting expressions, such as expressing Y to the 6th as Y to the 4th times Y squared. The tutorial also includes calculating the 4th root of terms and simplifying them, concluding with instructions for students to complete the lesson.

What is the prime factorization of 64?

• 2 * 2 * 2 * 2 * 2 * 2

• 4 * 4 * 4

• 8 * 8

• 16 * 4

How can 2 to the 6th power be expressed using smaller powers?

• 2 squared times 2 squared times 2 squared

• 2 to the 4th power times 2 squared

• 2 to the 5th power times 2

• 2 to the 3rd power times 2 to the 3rd power

What is the 4th root of 2 to the 4th power?

• 2

• 4

• 16

• 8

Which of the following cannot be simplified further when taking the 4th root?

• 2 to the 4th power

• Y to the 4th power

• Y squared

• 2 squared

What should students do after learning about the 4th root simplification?

• Ask questions in class

• Practice more examples

• Review the video

• Complete the assigned homework