Question

Me ayudan con la 23 49, 51 46, 43, 36 por favor
Es urgente!!

Answer 1

Respuesta:

2-2i ; 243i ; 1 ; 3+i ; 2-4i/3

Explicación paso a paso:

*se sabe:

➤i⁽⁴⁾⁺ⁿ=iⁿ

(4) : multiplo de 4

➤i²=-1

➤i⁰=1

*resolviendo:

23)

=(7-i/2)-(5+3i/2)

=7-i/2-5-3i/2

=2-(i+3i)/2

=2-4i/2

=2-2i

49)

=(3i)⁵

=3⁵(i⁵)

=243(i⁽⁴⁾⁺¹)

=243(i¹)

=243i

51)

=i¹⁰⁰

=i⁽⁴⁾⁺⁰

=i⁰

=1

46)

=(1+2i)(3-i)/(2+i)

=(3-i+6i-2i²)/(2+i)

=(5+5i)/(2+i)

=5(1+i)/(2+i)

=5(1+i)(2-i)/(2+i)(2-i)

=5(2-i+2i-i²)/(2²-i²)

=5(2+1+i)/(4+1)

=5(3+i)/5

=3+i

43)

=(4+6i)/3i

=(4+6i)i/3ii

=(4i+6i²)/3i²

=(4i-6)/-3

=4i/-3 + (-6/-3)

=2-4i/3