निम्न का मान ज्ञात कीजिए ।
`((-1+sqrt(-3))/(2))^(-8)+((-1-sqrt(-3))/(2))^(-8)`

Explanation

`((-1+sqrt(-3))/(2))^(-8)+((-1-sqrt(-3))/(2))^(-8)=(omega)^(-8)+(omega^(2))^(-8)=omega^(-8)+omega^(-16)`
`=(1)/(omega^(8))+(1)/(omega^(16))=(1)/(omega^(6)*omega^(2).)+(1)/(omega^(15)*omega)`
`(1)/((1)^(2)*omega^(2))+(1)/((1)^(5)*omega)=(1)/(omega^(2))+(1)/(omega)=(1+omega)/(omega^(2))=-(omega^(2))/(omega^(2))=-1`