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Now, with that said;

1^0.25=i, because i^4=1

Based on my formula: a^x=b & b^y=a ***

Where: x=1/y & y=1/x

Further on, if:

1^0.25=i

then:

1^4=i=1

So:

i^2 & 1^3=-1

But 1^2 & 1^3=1

So 1=-1

***Possibly only works for real numbers, not Complex nor Imaginary numbers, who probably has different rules set, which I'm not taught nor read about

And I've got the impression of this forum lacking flamers; thank god for that; meaning I don't need to explain myself further more :D

Thanks <3

Just in case: this is really just a question: where's my flaw.

Is it my formula who is wrong, or does it just only work for real numbers?