What is solution of (-x)^n (n is for all integer)...?

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Explanation

                      -n
Before solution of (-1) 

Let us see the solution of -1 base to power 2 and 3.

We know that 
        2
    (-1)  = 1
And 
        3
    (-1)  = -1

therefore -1 to any EVEN power is 1 and -1 to any ODD power is -1. By putting this rule to all integers. We get ...

                                   _
        n                           |
    (-x) = x      if n is EVEN      |
        n                            >
    (-x) = -x     if n is ODD       |  
                                   _|

Final answer will be x when n is EVEN and -x when n is ODD.

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       2n   -   2n  
      -------------- = ?
             -2/3 
           2n  
        

Solve

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

    

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Worksheets (Solved)

Matrix Logarithm

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