the value of `((-1+sqrt3 i)/2)^(3n)+((-1-sqrt3 i)/2)^(3n) = `

What is the value of ((1=-+isqrt3)/(2))^(3n)+((-1+isqrt3)/(2))^(3n) where i=sqrt(-1) ?

What is the value of ((-1+i sqrt(3))/(2))^(3n)+((-1-i sqrt(3))/(2))^(3n), where i=sqrt(-1)?

What is the value of ((-1+i sqrt3)/2)^900+ ((-1-i sqrt3)/2)^301 ?

((-1+i sqrt(3))/(2))^(3 n)+((-1-i sqrt(3))/(2))^(3 n)=

Find the value of (1 + i sqrt3) ^(3)

Show that ((-1+sqrt(3)i)/(2))^(n)+((-1-sqrt(3i))/(2))^(n) is equal to 2 when n is a multiple of 3 and 3 is equal to -1 when n is any other positive integer.

For any integer n, the argument of ((sqrt3+i)^(4n+1))/((1-isqrt3)^(4n))