Answer:
[tex]125i[/tex]
Step-by-step explanation:
We want to find
[tex]5^3i^9[/tex]
This can be rewritten as;
[tex]5^3i^8\times i[/tex]
[tex]5^3(i^2)^4\times i[/tex]
Recall that; [tex]i^2=-1[/tex]
[tex]5^3(-1)^4\times i[/tex]
We evaluate now to obtain;
[tex]125(1)\times i=125i[/tex]
