The Powers of i

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High School Math based on the topics required for the Regents Exam conducted by NYSED.

Powers of i :
To determine the value of i raised to a power greater than two, we rewrite the term using exponent rules.Remember that i² = -1 and i⁴ = 1. Therefore, any exponent of i that is a multiple of four will equal one; any even exponent not divisible by four will equal negative one. Also, negative exponents indicate a reciprocal of the base; if i is in the denominator, it will need to be rationalized. i and Imaginary numbers
Introduction to i. Raising i to arbitrary exponents. Imaginary Numbers part 1 Imaginary Numbers part 2