I'm doing some work with complex numbers and I've come across this exercise in the "Polar form" section.
$(1/2+i(\sqrt{3}/2))^{100}$
Of course this exercise is manageable with the help of Pascal's triangle and numerous hours of calculating, but I assume there's a much simpler solution.
The result should be: $-(1/2)-i(\sqrt{3}/2)$
I'm appreciative with any possible help.
Thanks,
Bobby