**Explanation:**

For example, if we expand the given fractions: 10^{3}/10^{1} = 1000/10 = 100 = 10^{2}

Now, if we subtract the exponents we get the same result. 10^{3-1} = 10^{2}

So, a^{m}/a^{n} = a^{m-n} is one of the exponent rules which saves time and makes calculation easier.

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