Pre-Calculus - How to simplify imaginary numbers to a higher power

The video tutorial introduces the concept of imaginary numbers, focusing on the imaginary unit 'i' and its properties. It explains how to calculate higher powers of 'i' and identifies a repeating pattern every four powers. The tutorial demonstrates how to use divisibility and remainders to simplify calculations involving powers of 'i'. The session concludes with practical applications, encouraging students to apply these concepts to solve mathematical problems.

What is the significance of the number 4 in relation to the powers of 'i'?

What would 'i' to the 17th power equal based on previous calculations?

How do you determine the value of 'i' raised to the 83rd power?