SOLUTION: i^785

Question 445518: i^785
Found 2 solutions by nerdybill, stanbon:
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
It cycles withing these four possibilities:
i^1 = i
i^2 = -1
i^3 = -i
i^4 = 1
.
divide 785 by 4 to get:
784 with a remaider of 1
therefore:
i^785 = i

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
i^785
------------
785 = (4*196 + 1)
-----
i^(4*196+1) = (i^4)^196*(i)^1
---
= 1^196 *i
---
= 1*i
----
= i
========
Cheers,
Stan H.
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