really dumb question

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May 3rd 2010, 07:34 PM
Pengu

really dumb question

hey im really dumb,
but is
$(e^{i \pi/4})^ 4$
=
$e^{i \pi}$
because
$(e^{i \pi/4})^ 4 = e^{4 i \pi/4}$ ?
May 3rd 2010, 07:39 PM
surjective

Good question

Hello,

Your computation is correct.

And you are not dumb.

(Wink)
May 3rd 2010, 11:58 PM
Tikoloshe

Congratulations. You have found a fourth root of -1 ( $-1=e^{i\pi}$ ). How many others can you find?

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