Evaluating a number raised to a rational exponent

The video tutorial explains how to simplify and evaluate the expression 256 to the 3/8. It begins by introducing the problem and explores rewriting the expression in radical form. The tutorial then demonstrates how to simplify the expression using powers of 4 and evaluates it without a calculator. The session concludes with a summary and a preview of upcoming examples.

What is the radical form of 256 to the power of 3/8?

How can 256 be expressed in terms of powers of 4?

What is the simplified form of 4 raised to the power of 12/8?

Explain the process of evaluating 256 to the power of 3 and then taking the 8th root.

What is the value of 4 raised to the power of 3/2?