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[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Imaginary Numbers
Powers of i   The  powers of i , are based in the definition of the imaginary unit and its square.   We know that Power and its simplification Result                          i                 -1                                      -i                                            1                                     i                                            -1                                           -i                                     1                                        i
[object Object],[object Object],[object Object],[object Object],Powers of i EXAMPLES Solve with your teacher the following powers for i: i 30 ,  i 17 ,  i 34 ,  i 120
[object Object],[object Object],Imaginary Numbers

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Imaginary numbers

  • 1.
  • 2. Powers of i   The powers of i , are based in the definition of the imaginary unit and its square.   We know that Power and its simplification Result                         i                -1                                     -i                                           1                                    i                                           -1                                          -i                                    1                                       i
  • 3.
  • 4.

Editor's Notes

  1. A partir de estas definiciones, podremos trabajar simplificando números imaginarios y las potencias de éstos.
  2. Utilizaremos las leyes de los exponentes, los cuales estudiamos el semestre anterior.