Latest Exam Aptitude Question SOLUTION: what is the value of i power i?

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(#M40164527) EXAM Numerical Ability question Keep an EYE

what is the value of i power i?

Asked In Exam raghavendra sai (6 years ago)

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Dina Haines  (6 years ago)

From Euler's formula, we know that exp(i*x) = cos(x) + i*sin(x), where "exp(z)" is the exponential function ez. Then

exp(i*Pi/2) = cos(Pi/2) + i*sin(Pi/2) = i.

Raising both sides to i-th power, we see that the right side is the desired quantity ii, while the left side becomes exp(i*i*Pi/2), or exp(-Pi/2), which is approximately .20788.

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