Question

Calcule o valor de i 1523 + i825​

Answer 1

Assunto: potencias de i.

• sendo:

 i^(4k + 0) = 1

i^(4k + 1) = i

i^(4j + 2) = -1

i^(4k + 3) = -i

• valor de:

 i^1523 + i^825

• rescreve:

  i^1523 = i^(4*380 + 3) = i^3 = -i

 i^825 = i^(4*206 + 1) = i^1 = i

• resposta:

  i^1523 + i^825 = i - i = 0