cubic root of x vs. x power 1/3
f(x)=x^(1/3) ==> x to power of 1/3
g(x)=nroot(x,3) ==> cubic root of x.
The question is, AFAIK and what my Dr. in Maths explains to me that both functions f and g has different definition area. f(x) is defined for x>=0 while g(x) is defined for all x.
However, Geogebra draws both the same, defined for all x (See attachment)