Find the value of`(i)omega^(21)(i i)omega^(18)`

Find the value of: omega^768

Find the value of: omega^-30

Find the value of: omega^-364

Find the value of: omega^-105

Find the value of: omega^-105

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))

The value of Sigma_(k=1)^(99)(i^(k!)+omega^(k!)) is (where, i=sqrt(-1) amd omega is non - real cube root of unity)

If omega!=1 is a cube root of unity, then find the value of |[1+2omega^100+omega^200,omega^2,1],[1,1+omega^100+2omega^200,omega],[omega,omega^2,2+omega^100+omega^200]|

Find the value of: (i) -27-(-23) (ii) -17-18-(-35)

Find the rms value of current i=I_(m)sin omegat from (i) t=0 "to" t=(pi)/(omega) (ii) t=(pi)/(2omega) "to" t=(3pi)/(2omega)