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Negative Exponents Example -1

We have already learnt the concept of negative exponent, let us start an exercise based on this. Let us solve an example :

  • 2-4

In the example, 2-4 can be written as 1/24 since we have exponent with negative( – ).
Here 24 means 2 multiplied itself for 4 times, i.e., 2 x 2 x 2 x 2,  we get as 16. Thus 1/24 = 1/16.
 
Therefore we get result for 2-4 as 1/16.
 

  • 8-2

In the example, 8-2 can be written as 1/82 since we have exponent with negative( – ).
Here 82 means 8 multiplied itself for 2 times, i.e., 8 x 8  we get 64. Thus 1/82 = 1/64.
 
Therefore we get the result for 8-2 as 1/64.
 
Let us try to solve few more examples :
 

  1. 3-5

  2. 7-5
  3. 9-6

 
In the first example, 3-5 = 1/35 = 1/243
 
Therefore the result for 3-5 is 1/243.
 
Coming to second example, 7-5 = 1/75 =1/16807
 
Therefore the result for 7-5 is 1/16807.
 

In the last example, 9-6 = 1/96 = 1/531441

 

Therefore the result for 9-6 is 1/531441.

 
The examples have been illustrated in the video below :

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