The Powers of i
More Lessons for High School Regents Exam
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
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