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Jlenok [28]
2 years ago
6

Which expression is equivalent to i 233

Mathematics
2 answers:
Fiesta28 [93]2 years ago
5 0
Start with second, third and fourth  degree of imaginary unit i:

i^2=-1, \\ i^3=i^2\cdot i=-1\cdot i=-i, \\ i^4=i^2\cdot i^2=-1\cdot (-1)=1.

Since 233=232+1=4·58+1, then i^{233}=i^{4\cdot 58+1}=(i^4)^{58}\cdot i^1=1^{58}\cdot i=i.

Answer: i^{233}=i
natta225 [31]2 years ago
5 0

Answer:C

Step-by-step explanation:

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Explanation:

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