Question

Calcule as seguintes potencias de i:
a)i76

b)i110

c)i97

d)i503

Answer 1

a) i⁷⁶ = (i²)³⁸ = (-1)³⁸ = 1

b) i¹¹⁰ = (i²)⁵⁵ = (-1)⁵⁵ = -1

c) i⁹⁷ = i⁹⁶ · i = (i²)⁴⁸ · i = (-1)⁴⁸ · i = 1 · i = i

d) i⁵⁰³ = i⁵⁰² · i = (i²)²⁵¹ · i = (-1)²⁵¹ · i = (-1) · i = -i