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Question: Why doesn't Maple simplify exponents.

Question:Why doesn't Maple simplify exponents.

max125 190 Maple 2022
radical surd simplification
March 17 2024
1

I am wondering why Maple simplifies (x^(1/3))^3 to x ,  but not (x^3)^(1/3) .
I even tried the surd function. I believe the surd function is for real number arguments, so it should simplify to x.

> 

restart:
> 

f:=x->x^3:
g:=x->x^(1/3):
> 

f(g(x));
g(f(x));

x

  

(x^3)^(1/3)

 (1)
> 

simplify((x^3)^(1/3))

(x^3)^(1/3)

 (2)
> 

simplify(x^(1/3))^3

x

 (3)
> 

simplify(surd(x^3,3))

surd(x^3, 3)

 (4)
> 

simplify(surd(x,3)^3)

surd(x, 3)^3

 (5)
> 

 

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