Explanation:
the exponent of an exponent means that we multiply the exponents.
if I understand you correctly, we have
(3²)^(⅓) = 3^(2×⅓) = 3^⅔ = cubic root(3²) = cubic root(9) =
= 2.080083823...
the denominator in a fraction of an exponent defines the grade of root to be applied. here therefore the cubic root.
or did you mean just
3^(⅓) ?
the same principle applies, we just have then the cubic root without the squaring of 3 :
3^(⅓) = cubic root(3¹) = cubic root(3) =
= 1.44224957...