what is 4^3/2
When raising a number to the power of a fraction, the numberator of the fraction becomes your new exponet, and the demoninator becomes your root.
I assume you mean the square root of 4^3:
sqrt(4^3) =
sqrt(4*4*4) =
sqrt(16*4) =
sqrt(64) =
$$\mathbf{\pm\;8.}$$