Question

Sabendo que Z= 2 - 3i e W= 1 + 2i, calcule o valor de 1/z.w

Answer 1

$\frac{1}{zw}=\frac{1}{(2-3i)(1+2i)}=\frac{1}{2+4i-3i-6i^2}=\frac{1}{8+i}=\frac{8-i}{(8+i)(8-i)}=\frac{8-i}{64-i^2}=\\\\=\boxed{\frac{8-i}{65}}$