5 to the power of 4 is equal to 5 x 5 x 5 x 5, which equals 625.
5 to the power of 6 is equal to 5 x 5 x 5 x 5 x 5 x 5, which equals 15625
So the value of 5 to the power of 4 over (divide) 5 to the power of 6 is the same as 625 divided by 15625, which equals 0.04.
A shorter way is you can do this is to cancel like terms:
5 x 5 x 5 x 5
5 x 5 x 5 x 5 x 5 x 5
You can cancel 4 fives on the top with 4 of the 5's on the bottom and you are left with
1
5 x 5
or 1/25 which is also equal to 0.04.
Hope this helps.
Have a blessed day!
Keith
