Index

[ahmedulkavi]

Please tell the answer:
x^i=?

[tanvirab]

If $x = re^{i\theta}$ then $x^i = e^{-\theta} e^{i \mbox{log}(r)}$

[rakeen]

what is $r$

[Moon]

Any complex number $x$ can be represented as $x=re^{i\theta}$, where $r \in \mathbb{R}$.
In fact, $r$ length of the segment connecting $0$ and $x$ in the complex plane.

[Tahmid Hasan]

a good appliction of de moivre's theorem