If `z=((1+i)/(1-i))^(9)` find `z+(1)/(z)`

If ,z_(1)=,2-i,z_(2)=1+i find ,,|(z_(1)+z_(2)+1)/(z_(1)-z_(2)+i)|

If z_(1)=2-i,z_(2)=1+i, find |(z_(1)+z_(2)+1)/(z_(1)-z_(2)+i)|

If (z)_(1)=2-i , (z)_(2)=1+i , find |((z)_(1)+(z)_(2)+1)/((z)_(1)-(z)_(2)+1)|

If z_(1)=2-i, z_(2)=1+i , find |(z_(1)+z_(2)+1)/(z_(1)-z_(2)+1)| .

If z = (1-i) , find z^(-1) .

If z_(1)=3-4i , z_(2)=2+i find bar(z_(1)z_(2))

If z_(1) =2 -i, z_(2)=1+i , find |(z_(1) + z_(2) + 1)/(z_(1)-z_(2) + 1)|

If z_(1) =2 -i, z_(2)=1+i , find |(z_(1) + z_(2) + 1)/(z_(1)-z_(2) + 1)|

If z=(1-i)^(6)+(1-i) , then find the modulus of z (i.e., |z|) and multiplicative inverse of z (i.e., z^(-1) ).

If z = frac((1+i)(1+sqrt3i)^2)(1-i) , find |z| , arg z and barz .