Algebra 2 - How to simplify an imaginary number to a higher power i^35

The video tutorial explains how to calculate powers of the imaginary unit i, focusing on i to the 35th power. It begins by demonstrating the step-by-step process to find i to the 5th and 6th powers, highlighting the repeating pattern every four powers. The instructor then introduces a shortcut using division to simplify the calculation of higher powers, specifically i to the 35th, by finding the remainder when dividing the exponent by 4. The tutorial concludes by simplifying i to the 35th as negative i.

What does I to the 3rd power equal to?

Explain how to simplify I to the 35th power using the method discussed.