Complex Value

Algebra Level 3

What is the principle value of i i i^{i} (approximated to 3 decimal places)?

0.104 0.208 Cannot be calculated Not defined

Yash Dev Lamba by Yash Dev Lamba , 23, India

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1 solution

i i = ( e i π 2 ) i = e − π 2 = ( calculator ) = 0.20787... \huge i^{i} = (e^{\frac{i \pi}{2}})^i = e^{\frac{-\pi}{2}} = (\text{calculator}) =0.20787...

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