Powers of Complex Numbers

Play with [math]z[/math] and [math]n[/math] to see how [math]w=z^n[/math] changes.[br][br]To change [math]z[/math]: either drag it to new positions on the diagram or define it exactly using the input box on the left.[br]To change [math]n[/math]: either drag the slider yourself or click "start/stop".[br][br]How are the integer powers ([math]z^2[/math], [math]z^3[/math], ...) related to [math]z[/math]?

Information: Powers of Complex Numbers