mariahhuey
mariahhuey mariahhuey
  • 27-09-2018
  • Mathematics
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What is the value of i^n if the remainder of n/4 is 2

What is the value of in if the remainder of n4 is 2 class=

Respuesta :

lisboa lisboa
  • 14-06-2019

Answer:

-1

Step-by-step explanation:

The remainder of n/4 is 2

n/4 represents the exponent

For example if n=6 then when we divide 6/4 the remainder is 2

if n=6  then i^6 = i^4 * i^2 = 1* (-1) = -1

The value of i^2=-1

i^2 = -i

i^4= 1

So if the remainder of n/2 =2 then it means i^2 = -1

the value of i^n =-1

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