Algebra 2 - How do you simplify a complex number to a high power i^ 31

The video tutorial explains the concept of the imaginary unit i, starting with its definition as the square root of -1. It covers the calculation of i squared, i cubed, and higher powers, highlighting the repeating pattern every four exponents. The tutorial introduces modular arithmetic as a method to simplify calculations of higher powers of i, using division to find remainders and determine the equivalent power. The video concludes with a discussion on shortcuts for calculating powers of i efficiently.

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