briannadoremus briannadoremus

03-05-2022
Mathematics

contestada

Which of the following is equivalent to the complex number i^5
Choose 1 answer:
1
i
-1
-i

Respuesta :

jimrgrant1 jimrgrant1

03-05-2022

Answer:

i

Step-by-step explanation:

i = [tex]\sqrt{-1}[/tex] ⇒ i² = ([tex]\sqrt{-1}[/tex] )² = - 1 , then

[tex]i^{5}[/tex]

= i² × i² × i

= - 1 × - 1 ×i

= 1 × i

= i

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