Question

preciso da resolucão e respota da questao 6

Answer 1

$z = - 1 + i \\ {z}^{4} = ( - 1 + i {)}^{4} \\ {z}^{4} = ( i - 1 {)}^{2} \times (i - 1 {)}^{2} \\ {z}^{4} = ( {i}^{2} - 2i + 1)( {i}^{2} - 2i + 1) \\ {z}^{4} = ( - 1 - 2i + 1)( - 1 - 2i + 1) \\ {z}^{4} = ( - 2i)( - 2i) \\ {z}^{4} = 4 {i}^{2} \\ {z}^{4} = 4 \times ( - 1) \\ \boxed{{z}^{4} = - 4}$

Resposta: Letra A