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Solve 0^-5 =...?

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Answer

Both are true

Explanation
0 to a negative third power
First take option (a)

     _     _ 5
    |   1   |
    |  ---  |
    |_  0  _|
             

We know that solution of 1/0 is undefined.

So solution of (1/0)^-5 will be undefined to power -5 which will be still undefined.

   
    = Undefined     .............. (i)


Now take option (b)

       1                
    = ---               
        5               
       0                

       1
    = ---
       0

    = Undefined   .............. (ii)  

From (i) and (ii)

     _     _ 5
    |   1   |    1
    |  ---  | = --- = Undefined 
    |_  0  _|     5 
                 0

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                 _____________________
                /      _____________  
               /     /        ____
              /     /        /  2  
             /  4  /  4  .  / 4  
            /    \/       \/
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