Verified Answer :

n^12/n^9 = 125
Let's use our product rules first!
nnnnnnnnnnnn/nnnnnnnnn

We can cancel out nine of those and we're left with:
 n^3 = 125.

We should expand that....
 n
nn = 125.

What times itself three times is 125? Oh! That would be the cubed root! Let's find it.
4
44 = 64, so that's not it.
How about 6
66? Nope, that's 216.
Hmm... 5
55? Yes! That's it.

That means we're left with n=5. Let's plug it back in, just to check.
5^12/5^9 = 125
5^3 = 125
5
5*5 = 125

That's correct, so your answer would be that the number is 5.