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Division Of Exponents Having The Same Base Example -1

As we have already learnt the concept of division of exponent having its base same.
Let us try to solve few examples

  • 54/52
  • 84/815
  • In the example, i.e., 54/52 we can write the given as 54-2 since denominator moves to numerator, thus we get 52.

    Therefore, we get the result for 54/52 as 52.

    Coming to next example, i.e., 84/815 we can write as 1/815-4 since denominator exponent value is more than numerator so, 84(numerator) is to be taken to denominator. We get 1/815-4 = 1/811

    Therefore, we get the result for 84/815 as 1/811.

    Let us try to solve few more examples :

    1. 138/135
    2. 34/314
    3. 255/255

      In the first example 138/135 = 138-5 = 133.

      Therefore the result for 138/135 = 133.

      Coming to second example, i.e., 34/314 = 1/314-4 = 1/311.

      Therefore the result for 34/314 = 1/310.

      In the last example, i.e., 255/255 = 255-5 = 250 = 1.

      Therefore the result for 255/255 = 1.

      The laws of exponents are to be remembered :

      • a0 = 1
      • Any non-zero integers ‘a’ and ‘b’, and integers ‘m’ and ‘n’

      (i) am/an = am-n if m > n
      (ii) am/an = 1/an-m if n > m

    The examples are been illustrated in the video below :

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