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

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

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

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

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

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

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)

sqrt(3)+(sqrt(3)-i2)-(3-i2)

The value of ((1+i sqrt(3))/(1-i sqrt(3)))^(6)+((1-i sqrt(3))/(1+i sqrt(3)))^(6)=