Learn how to simplify 4th root of a variable exponent using prime factorization

The video tutorial explains how to simplify the expression of the fourth root of X to the 14th power. The teacher discusses the inefficiency of writing out exponents manually and introduces the concept of the fourth root. By grouping terms and understanding exponent rules, the teacher demonstrates how to simplify the expression efficiently. The final solution is presented as X cubed times the fourth root of X squared.

What is the 4th root of X to the 14th power?

Why is it unnecessary to write out all the X's when calculating the 4th root of a large exponent?

How can you simplify the expression for the 4th root of X to the 144th power?

Explain the process of rewriting the 4th root of X to the 14th power using exponents.

What is the final answer when rewriting the 4th root of X squared?