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i to the power of two thirds

Name: Anonymous 2008-09-09 14:38

i^\frac{2}{3} = ?

Name: Anonymous 2008-09-09 15:21

i = e^iPi/4
i^2/3 = e^((iPi/4)*(2/3)) = e^iPi/6 = root 3 + i/2

Name: Anonymous 2008-09-09 20:51

>>2
Utter bullshit, lol.

Name: 4tran 2008-09-09 21:02

>>2
i = eiπ/2...

Name: Anonymous 2008-09-09 22:51

i^(2/3) = (i^2)^(1/3) = (-1)^1/3 = -1
Theres also two complex soutions

Name: Anonymous 2008-09-11 7:58

>>4
oh ya
e^iPi/3 then

Name: Anonymous 2008-09-11 14:59

>>5
(-1)^1/3 = -1
Try 0.5 + \frac{\sqrt{3}}{2}i
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