annameghan
annameghan annameghan
  • 03-10-2017
  • Mathematics
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simplify i^31 (click photo for options)

simplify i31 click photo for options class=

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liemonder liemonder
  • 03-10-2017
i^1=i
i^2=-1
i^3=-1*i
1^4=-1*-1=1

this repeats itself over and over again:
i^5=-1*-1*i=i
..

31/4=6 with a remainder of 3, so for i^31 it repeated 6 times and then it is the third entry of the table:

so we know i^31=i^3 -> look it up above =-1*i=-i=3rd option
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