Find the multiplicative inverse of the following complex number 4-3i

Explanation

Let .z=4-3 i, bar(z)=4+3 i. and .|z|^(2)=4^(2)+(-3)^(2)=16+9=25.

Therefore, the multiplicative inverse of .4-3 i. is given by . z^(-1)=(bar(z))/(|z|^(2))=(4+3 i)/(25)=(4)/(25),+(3)/(25).,