I read an intuitive approach on this website. You should read it, it's worth it: https://betterexplained.com/articles/intuitive-understanding-of-eulers-formula/ I read that an imaginary exponent continuously rotates us perpendicularly, therefore, a circle is traced and we end up on -1 after rotating through pi radians. If that's true, then why doesn't e^-pi rotates us continuously through 180 degrees so that we end up on the negative axis? '-' has more rotating power than 'i',right? And, if that's not true, then please share your intuition of the formula.