As far as exponents go.........there are only four cycles of i...........as to its value..........i, - 1, - i, 1..........they cycle through every fifth i.............a clue, as I wrote before.................for every even powered exponent........................i becomes real....................Riemann got zeros at even negative integers...........I think b/c he used an even number of variables...............4, like the fourth dimension...........I think the exact solution is by using 5 variables.......in the 5th dimension..........4............the quantum leap of multiplication and addition..............of successive, overlapping pairs.........................happens at 4............with 3 and 4............like pi..................3.14...............

Complex Numbers: Introduction - Purplemath

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Complex Numbers on MathHelp.com ... i^4 = 1. This pattern of powers, signs, 1's, and i's is a cycle: cycle. In other words, to calculate any high power of i, you can ...

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Powers of i - Varsity Tutors

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Math Homework. Do It Faster, Learn It Better. ... as (i4)i, which equals (1)i or i. Therefore, the cycle repeats every four powers, as shown in the table. ... −5i4. Simplify the imaginary part using the property of multiplying powers. −5i4=(−5)⋅i2⋅i2.