0.20787…

0.20787…

Check this out…

\huge i^{2}=-1\; or\; i=\sqrt{-1}

That looks familiar, right?  I think most of us have come across both of those definitions at some point.  What you probably didn’t learn is this…

\huge i^{i}=e^{\frac{-\pi }{2}}

Take a close look at that…and then look at this…

\huge i^{i}=0.20787...

Truly astonishing, an imaginary number raised to the power of an imaginary number gives us a never-ending decimal.  As always, if you are interested in deriving the answer, do a Google search.  You will be amazed at what you will find.

 

 

Posted on

Leave a Reply

Your email address will not be published. Required fields are marked *