# determine the powers and roots of given complex number

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?

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