[" Find "for the given loop "],[qquad [sum_(5Omega)^( )i^(5)" is "z^(3Omega)],[" B "]]

(3+5omega+3omega^(2))^(6)

Find number of values of complex numbers omega satisfying the system of equation z^(3)=-(bar(omega))^(7) and z^(5).omega^(11)=1

Find number of values of complex numbers omega satisfying the system of equaltion z^(3)=-(bar(omega))^(7) and z^(5).omega^(11)=1

Find number of values of complex numbers omega satisfying the system of equaltion z^(3)=-(bar(omega))^(7) and z^(5).omega^(11)=1

Find the locus of z if omega= (z)/(z- (1)/(3)i), |omega| =1

Find the complex number satisfying system of equation z^(3)=-((omega))^(7) and z^(5).omega^(11)=1

Find the number of values of complex numbers omega satisfying the system of equations z^(3)==(overlineomega)^(7) and z^(5).omega^(11)=1

If 1, omega, omega^(2) are three cube roots of unity, prove that (3+ 5omega + 3omega^(2))^(6) = (3 + 5omega^(2) + 3omega)^(6)= 64

Given that , 5=(5W+2omega)/(5+2) and 5.1=(7W+3omega)/(7+3) , find W and omega