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Question: why I can't isolate the negative sign from odd radicals and powers !

Question:why I can't isolate the negative sign from odd radicals and powers !

Fereydoon_Shekofte 223 Maple 18 , MaplePrimes
radical simplify negative power
January 06 2020
1

I found that i can use  simplify under assumption to gain the result :

simplify((-p^3)^(1/3), assume = negative);
                               -p

simplify((p^3)^(1/3), assume = positive);
                               p


But confusing ! I expected the simplify command just with the option=symbolic works at the same manner ?


 

My purpose :

> 

simplify((-p^7)^(1/7), assume = negative);

-p

 (1)
> 

simplify((p^7)^(1/7), assume = positive);

p

 (2)

Without negative sign the simple symbolic result appears :

> 

simplify((p^3)^(1/3), symbolic);

p

 (3)

In power 3 the Imaginary part is included too !

> 

simplify(((-p)^3)^(1/3), symbolic);

(1/2)*p*(I*3^(1/2)+1)

 (4)

NOT WORKING !

> 

simplify((p^7)^(1/7), symbolic);

p

 (5)
> 

simplify((-p^7)^(1/7), symbolic);

p*(-1)^(1/7)

 (6)
> 

simplify((-p^7)^(1/7), symbolic, radical);

(-p^7)^(1/7)

 (7)
> 

``
> 

``


 

Download odd_negative_powers.mwodd_negative_powers.mw

 
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