Question

Calcule (1-i) elevado a -2

Answer 1

Resposta:

$(1-i)^{-2}=\\ \\ {1\over(1-i)^2}=\\ \\ {1\over1-2i+i^2}=\\ \\ Sendo~~i^2=-1\\ \\ {1\over1-2i-1}={1\over-2i}\\ \\ ------------------\\ \\ {1.i\over-2i.(i)}={i\over-2i^2}={i\over-2(-1)}=\fbox{ {i\over2} }$