Question

State whether the given statement is true or false $\overline{\left(z^{-1}\right)}=(\overline{z}{)}^{-1}$

Answer 1

We have,

$\overline{(z^{-1}})=(\overline{z}{)}^{-1}$

$\overline{\left|z^{-1}\right|}=|\overline{z}{|}^{-1}$

$\overline{\left|\frac{1}{z}\right|}=\frac{1}{|\overline{z}|}$

$\frac{1}{|\overline{z}|}=\frac{1}{|\overline{z}|}$

Hence, this is the answer.