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antoniya [11.8K]
3 years ago
13

What is - 4i ^ 19, simplify

Mathematics
1 answer:
german3 years ago
7 0

Answer:

"i"

Step-by-step explanation:

i =\sqrt{-1} \\i^{2}= -1\\\\i^{3}= -i\\\\i^{4}= 1\\\\i^{5}= i\\

the cycle repeats every 4

19/4 = 4.75

16 is divisible by 4 plus three more

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

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