Question

simplify i^15

Answer 1

Use the property below:
\[\large i^2=-1\]

Answer 2

its not i ^2 tho ?

Answer 3

\[\large i^2=i*i=-1\\\large i^3=i^2*i=-1*i=-i\\\large i^4=i^2*i^2=-1*-1=1\\\large i^5=i^2*i^2*i=-1*-1*i=i\\\large i^6=i^2*i^2*i^2=-1*-1*-1=-1\\\large i^7=i^2*i^2*i^2*i=-1*-1*-1*i=-i\]

Answer 4

What can you observe?