/sci/ - Science & Math

>>11448229
Really?
And here I was thinking that it was a perfectly simple and formal application of [math](a^b)^c=a^{bc}[/math], a basic theorem about powers, instead of a heuristic, extremely informal grouping of the [math]-1[/math]s into pairs that should cancel out, whose formal proof would probably look something like [math](-1)^n = \Pi _{i=1} ^n (-1) = [ \Pi _{i ~ odd, ~ i \leq n}(-1) ][ \Pi_{i ~ even, ~ i \leq n} (-1) ] = [ \Pi_{i ~ odd, ~ i \leq n} (-1)][ \Pi_{i+1, ~ i ~ odd, ~ i \leq n} (-1) ]= \Pi_{i ~ odd, i \leq n} (-1)^2 = \Pi_{i ~ odd, ~ i \leq n} 1 = 1[/math]
>>11448267
Same tbqh.
>>11448263
>discord
OH NO NO NO NO