Answer:
i
The problem:
[tex]i^{37}[/tex]
Step-by-step explanation:
Since the pattern repeats per every 4 and i^4=1, I will divide 37 by 4.
37=4(9)+1
So [tex]i^{4(9)+1}[/tex]
[tex]=(i^4)^9(i^1)[/tex]
[tex]=(1)^9(i)[/tex]
[tex]=(1)(i)[/tex]
[tex]=i[/tex]
