If `omega` is an imaginary fifth root of unity, then find the value of `loe_2|1+omega+omega^2+omega^3-1//omega|dot`

Explanation

Here, `omega^(5)=1.` Therefore, `omega^(-1)=omega^(4)`
Also, `1+omega+omega^(2)+omega^(3)+omega^(4)=0`
`:." "log_(2)|1+omega+omega^(2)+omega^(3)-(1)/(omega)|`
`=log_(2)|1+omega+omega^(2)+omega^(3)-omega^(4)|`
`=log_(2)|-2omega^(4)|=log_(2)2=1" "(because|omega|=1)`