Question

Determine o valor do numero complexo z = (1 + i) 14 .

Answer 1

Resposta:

Se for z=(1+i)¹⁴

**** Observe ==>i²=[√(-1)]² =-1

z=[ (1+i)²]⁷ =[1+2i+i²]⁷ =[1+2i-1]⁷ =(2i)⁷ =2⁷ * i⁷ =128 * i⁷

*** Observei⁷ = i * i² * i² * i² = i* (-1)*(-1)*(-1) =-i

z=(1+i)¹⁴  = 128*(-i)  =-128i  é a resposta