Răspuns :
i^6 + i^16 + i^26 + i^ 36 + i^26 +i<^46= i^2 + i + i^2 + i + i^2 + i^2= 2i -1-1-1-1 = 2i - 4
i⁴ = 1
scriem in functie de i⁴ =1
i⁶ + i¹⁶ - i²⁶ + i³⁶ + i⁴⁶ =
= i⁴ i² + ( i⁴ )⁴ - (i⁴ )⁶ i² + (i⁴ )⁹ +( i⁴ )¹¹ i² =
= i² + 1 - i² + 1 + i²
= 2 -1 =1
scriem in functie de i⁴ =1
i⁶ + i¹⁶ - i²⁶ + i³⁶ + i⁴⁶ =
= i⁴ i² + ( i⁴ )⁴ - (i⁴ )⁶ i² + (i⁴ )⁹ +( i⁴ )¹¹ i² =
= i² + 1 - i² + 1 + i²
= 2 -1 =1