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  • 30-08-2021
  • Mathematics
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what is - 4i ^ 19, simplify

Respuesta :

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  • 30-08-2021

Answer:

[tex]"i"[/tex]

Step-by-step explanation:

[tex]i =\sqrt{-1} \\i^{2}= -1\\\\i^{3}= -i\\\\i^{4}= 1\\\\i^{5}= i\\[/tex]

the cycle repeats every 4

19/4 = 4.75

16 is divisible by 4 plus three more

thus  [tex]i^{19} = -i[/tex]  but you problem has a minus in front  so "i"

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