skigirl642135 skigirl642135

05-10-2021
Mathematics

contestada

help pleasee
solve i^100 - i^80 if i^2 = -1 and i^3 = -i

Respuesta :

devishri1977 devishri1977

06-10-2021

Answer:

Step-by-step explanation:

[tex]i^{100} - i^{80}=i^{2*50} -i^{2*40}\\\\=(i^{2})^{50}-(i^{2})^{40}\\\\=(-1)^{50}-(-1)^{40}\\\\[/tex]

= 1 - 1

= 0

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