How to solve an equation with fraction powers in your exponent

The video tutorial explains how to solve the equation X to the three halves equals 8. It covers the use of exponents and reciprocals to simplify the expression to X to the first power. The tutorial also demonstrates solving the equation using radical expressions and provides an alternative method using exponents. The instructor emphasizes understanding the multiplication of exponents and the use of reciprocals to simplify expressions.

What is the process to solve for X when it is raised to the power of three halves?

How can you rewrite the expression 8 to the power of 2/3 using radical notation?

What is the cube root of 64, and how is it related to the original problem?

Explain how to simplify the expression X to the power of three raised to the power of 2/3.

What alternative method can be used to solve for X when given the equation X to the power of three equals 8?