Remark
If you know the answer to
6/6 then you know the answer to 4^6 / 4^6
Both are equal to one. You could expand 4^6 to get a numerical answer.
4^6 = 4096
4096 / 4096 = 1
Edit
See comment posted by the asker.
Well you could do it one of 2 ways.
4 * 4 * 4 * 4 * 4 * 4
4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 You can do the cancellation to get
1
4*4
1/16 That's one way
or
you could do this as
4^6
4^8
1/(4^ (8 - 6) ) = 1/4^2
1 / 4^2 = 1/16 <<<<<< answer
Rule
When the bases are the same and the powers are different and you are dividing you can always subtract the powers.