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   sci.math.symbolic      Symbolic algebra discussion      10,432 messages   

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   Message 9,162 of 10,432   
   Axel Vogt to Nasser M. Abbasi   
   Re: On simplifying (a^n)^(1/n)   
   12 Sep 16 21:17:52   
   
   From: //noreply@axelvogt.de   
      
   On 12.09.2016 06:25, Nasser M. Abbasi wrote:   
    > I was looking at some algebra cheat sheet, where it said that   
    > something I never seen before:   
    >   
    > (a^n)^(1/n) was "a" if n is odd, and |a| if n is even.   
   ...   
    > Maple   
    > -----------   
    > restart;   
    > r:=a^n:   
    > simplify(r^(1/n),power,symbolic);   
    >      a   
      
   Be aware that this is a false instruction for Maple, 'symbolic'   
   tells Maple to ignore (some) rules.   
      
   # Maple 2016:   
      
   (a^n)^(1/n): subs(a=-1, n=2, %);   
                                      1   
      
   (a^n)^(1/n): subs(a=-1, n=3, %): simplify(%);   
      
                                            1/2   
                               1/2 + 1/2 I 3   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)   

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