is it possible to find a value for this operation: ${^{(3/2)}2}$? If so, can we generalize the domain of the function ${^{x}a}$ to the real or even complex numbers?
I had originally tried to solve the proposed operation by finding $ssrt({^{3}2})$ and $^{3}({ssrt(2)})$, however, the results are different.
Thanks for your help :)