Question

Value of 5 to the 4 power over 5 to the power of 6

Answer 1

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