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0 votes
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in Mathematics by (23.9k points)

Simplify: (-i)4n + 1, where n is a positive integer.

2 Answers

+1 vote
by (23.9k points)
selected by
 
Best answer

(-i)4n + 1 

= (i2. i)4n + 1 

= (i3)4n + 1

= i12n + 3

= i12n. i3

= (i4)3n. i2. i

= 1. (-1). i

= -i.

+1 vote
by (638 points)
Can be written as (--i)^4n.(-i)

=(-i^2)^2n . (-i)

=(-1)^2n.(-i)

=1. (-i)=-- i
by (638 points)
-- = -  pls read as minus, typing error.
by (23.9k points)
Improve your typing error.

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