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Mathematics 7 Online
OpenStudy (nirmalnema):

what is i^-i

OpenStudy (nirmalnema):

plz explain all the steps

OpenStudy (phi):

i can be written as \( \cos\left(\frac{\pi}{2}\right) + i \sin\left(\frac{\pi}{2}\right) \) or in polar form as \( e^{i\frac{\pi}{2} } \) raise it to the -i th power: \( \left(e^{i\frac{\pi}{2} } \right)^{-i}\) use the rule \( \left(a^b\right)^c = a^{bc} \) to simplify

OpenStudy (nirmalnema):

plz...further simplify it /// @phi

OpenStudy (phi):

are you asking what is -i * i * pi/2 ?

OpenStudy (nirmalnema):

yup......i have tried to solve it i m getting the wrong ans

OpenStudy (phi):

what is -i * i = - ( i * i) ? remember i = sqr(-1)

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