**Explanation:**

If you reduce this fraction all "n" of the factors of the denominator are reduced with "m-n" of the factors in the numerator. What is left in the numerator is "m - n" factors

For example, 10^{3}/10^{1} = 1000/10 = 100 = 10^{2}

So, this can also be written as 10^{3-1} = 10^{2} which is equal to the above one.

### Therefore, we subtract exponents when dividing powers with the same base because they are eventually canceled out when written in expanded form.