TanishN763391 TanishN763391
  • 29-10-2022
  • Mathematics
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Which of the following is equivalent to the complex number i^801i-1-i

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IrelynnN257747 IrelynnN257747
  • 29-10-2022

To answer this question, we need to remember the power of i

[tex]\begin{gathered} i^1=i \\ i^2=-1 \\ i^3=-i \\ i^4=1 \end{gathered}[/tex]

The expression i^80 can be re written as (i^4)^20

[tex](i^4)^{20}=(1)^{20}=1[/tex]

It means, the number i^80 is equivalent to 1.

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