[" The value of "],[((-1+sqrt(3)i)/(2))^(3n)+((-1-sqrt(3)i)/(2))^(3n)]

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

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

The value of ((-1+i sqrt(3))/(2))^(26)+((-1-i sqrt(3))/(2))^(26) is

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

The value of ((1+sqrt(3)i)/(1-sqrt(3)i))^(64)+((1-sqrt(3)i)/(1+sqrt(3)i))^(64) is

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.