Math Series #16

Algebra Level 2

What does e i π e^{i\pi} mean?

e e multiplied by itself i π i\pi times ( e π ) + ( e i ) (e^{\pi})+(e^{i}) None of the above

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2 solutions

Avner Lim
Apr 6, 2021

" e e multiplied by itself i π i\pi times" is wrong because this only applies to real numbers, not complex numbers. " e π + e i e^{\pi}+e^{i} " is also wrong because the associativity of multiplication states that these two needs to be multiplied, not added. Thus, the answer is None of the above \boxed{\text{None of the above}} . (If you want to know the correct answer, here is the answer.)

Well it should be "None of the below" I think

Zakir Husain - 2 months, 1 week ago

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Oh, can you tag @Brilliant Mathematics, which I am unable to tag here, to move that option to the bottom? When I was creating this question, it was at the bottom. Thanks!

Avner Lim - 2 months ago

I don't know, something related to vectors https://www.youtube.com/watch?v=v0YEaeIClKY

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