Apply prime factorization to simplify a fourth root of a variable raised to 12th power

The video tutorial explains the concept of the 4th root, emphasizing its inverse relationship with exponentiation. It guides viewers on how to group numbers based on the root index, using practical examples to demonstrate finding the 4th root by grouping terms. The tutorial highlights the importance of understanding inverse operations and provides a step-by-step breakdown of the process.

What does the 4th root of a number represent?

• A number added to itself four times

• A number divided by four

• A number multiplied by itself four times

• A number multiplied by itself three times

How do you determine the number of elements to group together when finding a root?

• By the number of elements in the set

• By the index of the root

• By the number of digits in the number

• By the size of the number

What is the relationship between the 4th root and raising a number to the 4th power?

• They are unrelated operations

• They are inverse operations

• They are the same operation

• They both increase the number

In the example provided, what is the result of taking the 4th root of X * X * X * X?

• X^2

• X^3

• X

• X^4

After grouping X's in sets of four, what is the final expression obtained in the example?

• X^5

• X^3

• X^2

• X^4