Question

calcule o valor de Z⁸, para Z = 2 -2i​

Answer 1

Resposta:

Z⁸, para Z = 2 -2i​

(2-2i)⁸

=2⁸ *(1-i)⁸

=2⁸ *[(1-i)²]⁴

=2⁸ *[(1-2i+i²]⁴

**************i²=-1

=2⁸ *[(1-2i-1]⁴

=2⁸ *[(-2i]⁴

2⁸ *(-2)⁴ *i⁴

2⁸ *(-2)⁴ * [ i²]²

2⁸ *(-2)⁴ * [-1]²

2⁸ *(-2)⁴ * 1

(-2)⁴=2⁴

2⁸ *2⁴ * 1

= 2⁸⁺⁴

=2¹²

=4096