If `z-1/z=6`, find the value of `z^4+1/z^4`

If z=1-i find the value of z^(6)-z^(4)+z^(2)-1

If z + z^(-1)= 1 , then find the value of z^(100) + z^(-100) .

if |z|=1, then find the value of (1+z)/(1-z) .

If z=4+i sqrt(7), then find the value of z^(2)-4z^(2)-9z+91

1.If Z=(1+i)/(sqrt(2)) find the value of Z^(6)+Z^(4)+Z^(2) .

If z_(1),z_(2) and z_(3),z_(4) are two pairs of conjugate complex numbers,hen find the value of arg(z_(1)/z_(4))+arg(z_(2)/z_(3))*a

If z_(1),z_(2),z_(3) are complex numbers such that |z_(1)|=|z_(2)|=|z_(3)|=1|(1)/(z_(1))+(1)/(z_(2))+(1)/(z_(3))|=1 Then find the value of |z_(1)+z_(2)+z_(3)| is :

If z_(1),z_(2),z_(3) are complex numbers such that |z_(1)|=|z_(2)|=|z_(3)|=|(1)/(z_(1))+(1)/(z_(2))+(1)/(z_(3))|=1 Then find the value of |z_(1)+z_(2)+z_(3)| is :

If 2^(x)=4^(y)=8^(z) and ((1)/(2x)+(1)/(4y)+(1)/(6z))=(24)/(7) , then find the value of z.