Determine the powers and roots of given complex numbers using de Moivre's theorem: $(6+5i)^5$ and $(4+3i)^{1/2}$.

I tried for powers -- it will be $5$ and $1/2$ respectively -- but I am not sure about the answers, and then I don't know how to proceed for roots of given complex numbers. Can anyone please help me?

  • $\begingroup$ Welcome to Mathematics Stack Exchange. Do you know how to convert from rectangular to polar notation? $\endgroup$ – J. W. Tanner Aug 22 at 4:27
  • $\begingroup$ yeah I know that $\endgroup$ – HA HA HA Aug 22 at 4:37
  • $\begingroup$ Do you know how to take powers and roots in polar notation? It is much easier than $a+bi$ $\endgroup$ – Ross Millikan Aug 22 at 4:40
  • 3
    $\begingroup$ On average you'll get more (and more usefu) answers if you show what you've tried. $\endgroup$ – Travis Willse Aug 22 at 4:44
  • $\begingroup$ @HAHAHA can you precise your answers for the powers? 5 and 1/2 are the exponents, but not the results. $\endgroup$ – user376343 Aug 22 at 10:52

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.