Raising an imaginary number to a higher power to simplify

The video tutorial explains how to calculate I to the 55th power by understanding the properties of the imaginary unit I, which is the square root of -1. The tutorial highlights the repeating pattern of powers of I, which cycles every four powers. By dividing 55 by 4, the remainder is found to be 3, indicating that I to the 55th is equivalent to I cubed, which equals negative I. The tutorial provides a clear step-by-step explanation of this process.

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