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8.9E: Ejercicios
https://espanol.libretexts.org/Under_Construction/Matem%C3%A1ticas/%C3%81lgebra_Intermedia_(OpenStax)/08%3A_Ra%C3%ADces_y_radicales/8.09%3A_Utilizar_el_Sistema_de_N%C3%BAmeros_Complejos/8.9E%3A_Ejercicios
49. $\dfrac{3+4 i}{4-3 i}$ 50. $\dfrac{5-2 i}{2+5 i}$ 51. $\dfrac{2+i}{3-4 i}$ 52. $\dfrac{3-2 i}{6+i}$ 57. $\dfrac{1+4 i}{3 i}$ 58. $\dfrac{4+3 i}{7 i}$ 59. $\dfrac{-2-3 i}{4 i}$ 60. \(...49. $\dfrac{3+4 i}{4-3 i}$ 50. $\dfrac{5-2 i}{2+5 i}$ 51. $\dfrac{2+i}{3-4 i}$ 52. $\dfrac{3-2 i}{6+i}$ 57. $\dfrac{1+4 i}{3 i}$ 58. $\dfrac{4+3 i}{7 i}$ 59. $\dfrac{-2-3 i}{4 i}$ 60. $\dfrac{-3-5 i}{2 i}$ 61. $i^{41} = i^{40}\cdot i = \left(i^{4}\right)^{10}\cdot i= i$ 63. $i^{66} = i^{64}\cdot i^{2} = \left(i^{4}\right)^{16}\cdot (-1)= -1$ 67. $i^{137} = i^{136}\cdot i = \left(i^{4}\right)^{34}\cdot i = 1 \cdot i = i$
8.9E: Ejercicios
https://espanol.libretexts.org/Matematicas/Algebra/Algebra_Intermedia_(OpenStax)/08%3A_Ra%C3%ADces_y_Radicales/8.09%3A_Utilizar_el_Sistema_de_N%C3%BAmeros_Complejos/8.9E%3A_Ejercicios
9. $(1+3 i)+(7+4 i)$ 10. $(6+2 i)+(3-4 i)$ 49. $\dfrac{3+4 i}{4-3 i}$ 50. $\dfrac{5-2 i}{2+5 i}$ 51. $\dfrac{2+i}{3-4 i}$ 52. $\dfrac{3-2 i}{6+i}$ 57. $\dfrac{1+4 i}{3 i}$ 58. \(\dfrac{4...9. $(1+3 i)+(7+4 i)$ 10. $(6+2 i)+(3-4 i)$ 49. $\dfrac{3+4 i}{4-3 i}$ 50. $\dfrac{5-2 i}{2+5 i}$ 51. $\dfrac{2+i}{3-4 i}$ 52. $\dfrac{3-2 i}{6+i}$ 57. $\dfrac{1+4 i}{3 i}$ 58. $\dfrac{4+3 i}{7 i}$ 59. $\dfrac{-2-3 i}{4 i}$ 60. $\dfrac{-3-5 i}{2 i}$ 61. $i^{41} = i^{40}\cdot i = \left(i^{4}\right)^{10}\cdot i= i$ 63. $i^{66} = i^{64}\cdot i^{2} = \left(i^{4}\right)^{16}\cdot (-1)= -1$ 67. $i^{137} = i^{136}\cdot i = \left(i^{4}\right)^{34}\cdot i = 1 \cdot i = i$

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