Question

Número co.plexos Calcule i18+i26-i9

Answer 1

18.i + 26.i - 9.i

44i - 9i

=> 35i

Answer 2

i18+i26-i9 ....creio que seja i¹⁸ + i²⁶ - i⁹

i¹⁸ =(i²)⁹ =(-1)⁹=-1

i²⁶ =(i²)¹³ =(-1)¹³ =-1

i⁹=i⁵ * i⁴ = i * 1 =i

i¹⁸ + i²⁶ - i⁹ =-1-1-i =-2 - i = -(2+i) é a resposta

############################

Observe:

i=√-1

i° = 1

i¹ = i

i² = -1

i³ = i*i² = -i

i⁴=i³ * i =-i * i = -i² = -(-1) = 1

i⁵ = i⁴ * i = 1 *i = i