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Mathematics 16 Online
OpenStudy (haleyelizabeth2017):

Simplify. i^(38)

rishavraj (rishavraj):

u see i^2 = -1 , i^3 = -i , i^ 4= 1 now divide 38 by 4 ..rememinder is 2...... think??

OpenStudy (haleyelizabeth2017):

oh...duh lol

Nnesha (nnesha):

4 cycle i= i i^2= -1 i^3 = -i i^4 =1 and then it repeats the pattern so just the power by 4

Nnesha (nnesha):

i^1= i **

OpenStudy (haleyelizabeth2017):

So -1?

rishavraj (rishavraj):

yup :)))

OpenStudy (haleyelizabeth2017):

Thank you (:

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