Answer:
-1
Step-by-step explanation:
Rewrite
[tex]i^3^0[/tex] as [tex](i^4)^7i^2.[/tex]
Factor out [tex]i^2^8.[/tex]
[tex]i^2^8i^2[/tex]
Rewrite [tex]i^2^8[/tex] as [tex](i^4)^7[/tex]
Rewrite [tex]i^4[/tex] as [tex]1[/tex]
Rewrite [tex]i^4[/tex] as [tex](i^2)^2.[/tex]
[tex]((i^2)^2)^7i^2[/tex]
Rewrite [tex]i^2[/tex] as [tex]-1.[/tex]
Raise -1 to the power of 2.
[tex]1^7i^2.[/tex]
One to any power is one.
[tex]1i^2[/tex]
Multiply [tex]i^2[/tex] by 1.
Rewrite [tex]i^2[/tex] as -1
[RevyBreeze]
