9^9 + 9^9 + 9^9=...?

________________________________

Answer

3^19

Explanation

 9   9   9
9 + 9 + 9 

there is no formula of addition of exponents values



              _   _ 9
         9   |   2 |
We know 9  = |  3  |  therefore  
             |_   _|
         
   _   _ 9   _   _ 9   _   _9
  |   2 |   |   2 |   |   2 |
= |  3  | + |  3  | + |  3  | 
  |_   _|   |_   _|   |_   _|   


   18  18  18
= 3 + 3 + 3 

       _         _         
   18 |           |
= 3   | 1 + 1 + 1 |  
      |_         _| 

   18
= 3   . 3
    
   19
= 3  
     

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             _____________________
            /      _____________  
           /     /        ____
          /     /        /  2  
         /  4  /  4  .  / 4  
        /    \/       \/
       /  --------------------
      /            3
    \/            2    

    

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Worksheets (Solved)

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