As we have already learnt the concept of division of exponent having its base same.

Let us try to solve few examples

- 5
^{4}/5^{2} - 8
^{4}/8^{15} - 13
^{8}/13^{5} - 3
^{4}/3^{14} - 25
^{5}/25^{5}In the first example 13

^{8}/13^{5}= 13^{8-5}= 13^{3}.Therefore the result for 13

^{8}/13^{5}= 13^{3}.Coming to second example, i.e., 3

^{4}/3^{14}= 1/3^{14-4}= 1/3^{11}.Therefore the result for 3

^{4}/3^{14}= 1/3^{10}.In the last example, i.e., 25

^{5}/25^{5}= 25^{5-5}= 25^{0}= 1.Therefore the result for 25

^{5}/25^{5}= 1.The laws of exponents are to be remembered :

- a
^{0}= 1 - Any non-zero integers ‘a’ and ‘b’, and integers ‘m’ and ‘n’

(i) a

^{m}/a^{n}= a^{m-n}if m > n

(ii) a^{m}/a^{n}= 1/a^{n-m}if n > m - a

In the example, i.e., 5^{4}/5^{2} we can write the given as 5^{4-2} since denominator moves to numerator, thus we get 5^{2}.

Therefore, we get the result for 5^{4}/5^{2} as 5^{2}.

Coming to next example, i.e., 8^{4}/8^{15} we can write as 1/8^{15-4} since denominator exponent value is more than numerator so, 8^{4}(numerator) is to be taken to denominator. We get 1/8^{15-4} = 1/8^{11}

Therefore, we get the result for 8^{4}/8^{15} as 1/8^{11}.

Let us try to solve few more examples :

The examples are been illustrated in the video below :