Answer:
1
Step-by-step explanation:
[tex]i^{12}= i^{2} *i^{2} *i^{2} *i^{2} *i^{2} *i^{2}[/tex]
Remember that [tex]i^{2}=-1[/tex]
Plug it in:
[tex]i^{12}= (-1)^{2} *(-1)^{2} *(-1)^{2} *(-1)^{2} *(-1)^{2} *(-1)^{2}[/tex]
[tex]=1*1*1*1*1*1[/tex]
[tex]=1[/tex]