Simplifying i to a higher power the easy way

The video tutorial explains how to simplify I to the 18th power. It begins by introducing the concept of I as the square root of -1 and discusses the importance of understanding rather than memorizing the table of powers of I. The tutorial then walks through the calculations of I squared, I cubed, and I to the fourth, showing how these powers repeat every four steps. Finally, it demonstrates how to determine I to the 18th by identifying the number of repetitions and the remainder, concluding that I to the 18th equals -1.

Describe the pattern observed in the powers of I.

How do you determine the remainder when calculating I to the 18th power?