Question

Express the following complex numbers in the form a+ib.
1. i power 55 + i power 60 + i power 65 + i power 75


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Answer 1

i^55=i^52×i^3=-i

i^60=1

i^65=i^64×i=1×√-i

i^75=i^72×i^3=1×-i=-i

=-i+1+1√-i-i