((sqrt(3)+i)/(2))^(6)+((i-sqrt(3))/(2))^(0)" is equal to: "

((sqrt(3))/(2)+(i)/(2))^(177) is equal to

show that ((sqrt(3)+i)/(2))^(6)+((i-sqrt(3))/(2))^(6)=-2

If i=sqrt(-1), then 4+5(-(1)/(2)+i(sqrt(3))/(2))^(334)+3(-(1)/(2)+i(sqrt(3))/(2))^(335) 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

(2/(i+sqrt(3)))^(100)+(2/(i-sqrt(3)))^(100)=

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

(sqrt(3)+i)^(6)+(sqrt(3)-i)^(6)=

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