Simplify i^89 in terms of complex numbers

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23-11-2014
Mathematics

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Simplify i^89 in terms of complex numbers

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DeusExMachina DeusExMachina · Answer 1 · 2014-11-23T19:46:54-05:00

DeusExMachina DeusExMachina

23-11-2014

i
because 89 is an odd number
and since i is root of -1
if the exponent is odd,
the result will always be i, the base.
On the other hand, if it is even,
the result will always be -1.

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