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If omega is a non-real complex cube root...

If `omega` is a non-real complex cube root of unity, find the values of the following.
(i)`omega^(1999)`
(ii) `omega^(998)`
(iii) `((-1+isqrt(3))/2)^(3n+2),ninNand i=sqrt(-1)`
(iv) `(1+omega)(1+omega )^(2)(1+omega)^(4)(1+omega)^(8)`...upto `2n` factors
(v) `((alpha+betaomega+gammaomega^(2)+deltaomega^(2))/(beta+alphaomega^(2)+gammaomega+deltaomega))," where "alpha,beta,gamma,delta, in R`
(vi) `1*(2-omega)(2-omega^(2))+2*(3-omega)(3-omega^(2))+3*(4-omega)(4-omega^(2))+...+...+(n-1)*(n-omega)(n-omega^(2))`

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