Question

What is the Value of
${i}^{271}$

Answer 1

-¡ because i^4n =1
and we can write 271=4×67+3

Answer 2

Hey!
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✨Complex Numbers ✨
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✔Value of i ^ 271 :


$= > > i {}^{271} \\ \\ = > >( i {}^{4} ) {}^{67} . \: i {}^{3} \\ \\ = > > 1. - i \\ \\ = > > - i$


[ Used the facts that i ^ 4 or a multiple of that is 1 . Also the value of i ^ 3 = - i ]


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