Use prime factorization to simplify the fourth root of a radical expression

The video tutorial demonstrates how to simplify the 4th root of 81 * X^16 using two methods. It begins by explaining the property of roots and then factorizes 81 to find its 4th root. The tutorial continues by simplifying X^16 using exponent rules, ultimately arriving at the simplified expression X^4. The video concludes with a summary of the steps taken to achieve the final result.

What is the process to simplify the 4th root of 81?

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Explain how to factorize the number 81 to find its 4th root.

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What is the significance of prime factorization in simplifying roots?

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How do you determine the 4th root of a variable raised to a power, such as X to the 16th?

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Describe the relationship between exponents when simplifying expressions like the 4th root of X to the 16th.

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