Math, asked by sagar17164, 1 year ago

find the value of i power i

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Answered by jagarlamudi200pamp92
3
u need to give the integral value of i.
then only it'll be possible to find the value of i^i

sagar17164: what was the answer
jagarlamudi200pamp92: give the value of i
Answered by Anushkadarekar
5
Best Answer
one of the most famous relations in math is e^(pi*i)=-1

i=sqrt(-1)
i=e^(pi*i/2) (divide exponent by 2 gives the square root).
i^i=e^(-pi/2) (multipling the exponent by i raises to the power of i .and i*i=-1. So this exponent is pi*(-1)/2 )
e^(-pi/2)=0.2079

There are actually an infinitude of values. This would be the principal one, and if the problem asks for one, this is it.


Hope it helps .....!!
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