Question

Write the expression in standard form. 6/(4-13i)

Answer 1

$\frac{6}{4-13i}* \frac{4+13i}{4+13i}= \\ = \frac{6*(4+13i)}{16-169i ^{2} } = \\ = \frac{24+78i}{16+169}= \\ = \frac{24+78i}{185}=$
= 24/185 + 78/185 i 

Answer 2

6/(4 - 13i) = 6/(4 - 13i) * (4 + 13i)/(4 + 13i) = (24 + 78i)/(16 + 169) = 6/185 (4 + 13i)