((-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

((1+sqrt(3)i)/(1-sqrt(3)i))^(181) + ((1-sqrt(3)i)/(1+sqrt(3)i))^(181) is equal to ______________

If i=sqrt(-)1, then 4+5(-(1)/(2)+(i sqrt(3))/(2))^(334)+3(-(1)/(2)+(i sqrt(3))/(2))^(365) is equal to (1)1-i sqrt(3)(2)-1+i sqrt(3)(3)i sqrt(3)(4)-i sqrt(3)

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)))

((-1+i sqrt(3))/(2))^(6)+((-1-i sqrt(3))/(2))^(6)+((-1+i sqrt(3))/(2))^(5)+((-1-i sqrt(3))/(2))^(6)