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What is Im i i
i = − 1
Im means imaginary part of the complex number
The answer is 0.
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Thank you @Azhaghu Roopesh M
Same from my side
To be precise, i i has no fixed real value. It has an infinite number of values that can be shown using Euler's formula. We get,
i i = e − 2 π n − 2 π , n ∈ Z
As you can see, n can take any integer value and we'll get different values. But the value mostly used is when n = 0 (according to standard conventions) and we get the answer as e − 2 π ≈ 0 . 2 0 7 8 8 .
how???????/?
i i = ( 0 + i ) i = ( cos 2 π + i sin 2 π ) i = ( e 2 π i ) i = e − 2 π = e − 2 π + 0 i
ℑ ( i i ) = 0
The value i^i is equal to e^(-pi/2) .. thus, taking the imaginary part, which is 0, thus, it is zero..
i i = e 2 − π = 0 . 2 0 7 which is purely real and thus has no imaginary part so Im i i = 0