Raise a Complex Number to the Power of Another Complex Number

This video explains how to raise a complex number Z1 to the power of another complex number Z2 y = Z1^Z2 Calculations are started by taking ln y to obtain ln y = ln ( Z1^Z2) = Z2 ln Z1 then express the complex number Z1 in polar for r e^(it), simplify then calculate ln y as the product of the complex numbers Z2 and ln Z1. Finally use the fact that y = e^(ln y) to simplify the final answer. More math videos at https://www.analyzemath.com/math-videos.html. More math problems with solutions at https://www.analyzemath.com Subscribe to my channel to get more videos on math for all levels https://www.youtube.com/channel/UC2cmvDflm86w7C_D7QmcOVA? sub_confirmation=1