Fractional exponents vs. radical form ...

[CyberAngel]

(03-10-2020 09:40 AM)DrD Wrote:  Pardon my English, but math is not my native language:

Frustration: Expressions, (or equations), similar to x^([even numbered numerator]/denominator), when x<0.

An Example:

(-1)^(2/3); ==> (-1/2)+i*sqrt(3)/2
(3) NTHROOT ((-1)^2); ==> 1, the desired result

f(x):=(x^(2/3));
g(x):=((3) NTHROOT (x^2));
subst({f(x), g(x)}, x=(-1)); ==> {((1/2)+(i*sqrt(3)/2))^2,1}

A setting would be nice, that would force fractional exponents, to be the same as their radical form ... not sure how to best define it, but like obscenity, "I know it when I see it!"

-Dale-

The root function has a different defining area/range from rational or reciprocal exponent function.
That according to high school math.