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i^3=?

 May 29, 2016
 #1
avatar+37167 
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Definition:   i = sqrt(-1)     so  i^3 =  i^2 x i  =  -1 x i =  -i

 May 29, 2016
 #2
avatar+9675 
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i4n+1=i

i4n+2=-1

i4n+3=-i

i4n=1

3 is 4(0)+3

Therefore i3=-i

 May 30, 2016

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