Understanding Fourth Roots and Exponents

The video tutorial explains how to simplify the fourth root of 81 times x to the 16th. It begins by introducing the concept of simplifying roots and then breaks down the process into manageable steps. The instructor demonstrates how to factorize 81 into its prime components and explains the method for finding the fourth root of numbers. The tutorial also covers simplifying x to the 16th using fourth roots, providing a clear and detailed explanation of the mathematical principles involved.

What is the main goal of the tutorial?

• To factorize numbers into prime factors

• To learn how to multiply exponents

• To simplify the fourth root of a given expression

• To understand the concept of square roots

Which property of roots is discussed in the tutorial?

• The root of a quotient is the quotient of the roots

• The root of a difference is the difference of the roots

• The root of a product is the product of the roots

• The root of a sum is the sum of the roots

How is the number 81 factorized in the tutorial?

• 4 times 20.25

• 3 times 3 times 3 times 3

• 3 times 27

• 9 times 9

What is the prime factorization of 81?

• 2 times 2 times 2 times 2

• 3 times 3 times 3 times 3

• 5 times 5 times 5 times 5

• 4 times 4 times 4 times 4

What is the fourth root of 81?

• 2

• 5

• 4

• 3

What is the fourth root of 3 multiplied by itself four times?

• 4

• 3

• 2

• 1

What is the fourth root of 2 times 2 times 2 times 2?

• 4

• 3

• 2

• 1

What is the fourth root of 81?

• 2

• 5

• 3

• 4

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

• 1

• 2

• 4

• 3

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

• 4

• 1

• 2

• 3