Algebra 2 - Evaluating complex numbers to a higher power i^ 65

The video tutorial explains the cyclical nature of powers of the imaginary unit 'i'. It demonstrates how powers of 'i' repeat every four exponents, and how to calculate the remainder when dividing exponents by four to determine the equivalent power of 'i'. The tutorial emphasizes that the remainder is crucial in identifying the power of 'i' after repetitions. The explanation includes examples and calculations to illustrate these concepts, ensuring a clear understanding of the cyclical pattern and its implications.

What does a remainder of 1 indicate when calculating the exponent of I?

Discuss the relationship between the remainder and the exponent in the context of I.