SOLUTION: simplify i^26

Question 319789: simplify i^26
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
simplify i^26
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Powers of i are cyclic modulo 4
Exp Value
1.....i
2.....-1
3.....-i
4.....+1
5.....i
6.....-1
7.....-i
8.....+1
9.....i
etc
Divide the exponent by 4 and get the remainder.
This is called Modulo(26,4) in Excel and in programming language.
26 = 6*4 + 2
i^26 = i^2
= -1

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