" 12."((-1+i sqrt(3))^(15))/((1-i)^(20))+((-1-i sqrt(3))^(15))/((1+i)^(20))" is equal to "

((-1+i sqrt3)^(15))/((1-i)^(20)) + ((-1-i sqrt3)^(15))/((1+i)^(20)) is equal to

(1+i sqrt(3))^(5)+(1-i sqrt(3))^(5)=

frac{(-1+isqrt3)^15}{(1-i)^20}+frac{(-1-isqrt3)^15}{(1+i)^20} is equal to

If i = sqrt(-1) , then 4 + 3 (-(1)/(2) + i(sqrt(3))/(2))^(127)+5(-(1)/(2)+i(sqrt(3))/(2))^(124) is equal to

log((1+i sqrt(3))/(1-i sqrt(3)))

What is ((sqrt3+i))/((1+sqrt3 i)) equal to ?

If z = ((1)/(sqrt(3)) + (1)/(2)i)^(7) + ((1)/(sqrt(3))-(1)/(2)i)^(7) , then