> But the question is if current behaviour is useful?

> Do people depend on numeric x^(1/3) beeing
> defined for negative arguments?

The problem is "(x:Float) ^ (y:Fraction Integer)" when x is negative.
Since most other CAS don't have a strong type system, they avoid
this problem by treating x as a complex value and giving a complex
result.

I did a quick search and in
https://mathematica.stackexchange.com/questions/3886/finding-real-roots-of-negative-numbers-for-example-sqrt3-8
some people want to know the real valued root of a negative number.
Mathematica adds two new function "CubeRoot" and "Surd" to do this.
We can overload this meaning to "^".

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