Question

A potência (1-i)^16 equivale a?

Answer 1

(1-i)¹⁶ = ((1-i)²)⁸

(1-i)¹⁶ = (1-2i+i²)⁸

(1-i)¹⁶ = (1-2i-1)⁸

(1-i)¹⁶ = (-2i)⁸ = ((-2i)²)⁴

(1-i)¹⁶ = (4i²)⁴

(1-i)¹⁶ = (-4)⁴ = 256