((-1+i sqrt(3))^(15))/((1-i)^(20))+((-1-i sqrt(3))^(15))/((1+i)^(20))=

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((-1+i sqrt3)^(15))/((1-i)^(20)) + ((-1-i sqrt3)^(15))/((1+i)^(20)) is equal to

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

(1+i sqrt(3))^(5)+(1-i sqrt(3))^(5)=

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

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

the value of ((1+i sqrt(3))/(1-i sqrt(3)))^(6)+((1-i sqrt(3))/(1+i sqrt(3)))^(6) is

log((1+i sqrt(3))/(1-i sqrt(3)))

If z = ((1)/(sqrt(3)) + (1)/(2)i)^(7) + ((1)/(sqrt(3))-(1)/(2)i)^(7) , then

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