I don't know, please tell me

Calculus Level 2

True or false:

i i = e − π 2 \large i^{i} = e^{-\frac{\pi}{2}}

True False

Abhay Tiwari by Abhay Tiwari , 28, India

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1 solution

Abhay Tiwari
Apr 18, 2016

i i can be written as:

i = e i π 2 i= e^{i\frac{\pi}{2}}

Now

i i = e i 2 π 2 i^{i}= e^{i^{2}\frac{\pi}{2}}

Which can also be written as:

i i = e − π 2 i^{i}= e^{-\frac{\pi}{2}}

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