Monday, 19 September 2016

Confused with imaginary numbers

In 9th grade I had an argument with my teacher that



i3=i




where i=1



But my teacher insisted (as is the accepted case) that:



i3=i



My Solution:



i3=(1)3




i3=(1)3



i3=1×1×1



i3=1



i3=i



Generally accepted solution:




i3=(1)3



i3=1×1×1



i3=1



i3=i



What is so wrong with my approach? Is it not logical?




I am using the positive square root. There seems to be something about the order in which the power should be raised? There must be a logical reason, and I need help understanding it.

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