Question 1112642
Best also to write the expression correctly.


{{{(1-4i)/(5-6i)}}}


You want to simplify this and you use the conjugate of the denominator; and multiply the given expression by 1.


{{{((1-4i)/(5-6i))((5+6i)/(5+6i))}}}


Do you know the next step(s) ?
Understand that {{{i*i=-1}}}.

-


Do the multiplication indicated and simplify from there if possible.

-

{{{highlight(29/61-(14/61)i)}}}