how can an expression written in either radical form or rational exponent form be rewritten to equivalent forms?

You can rewrite radical form expressions by putting the expression to the power of 1/n, n depending on the radical. For example: sqrt2 = 2^ (1/2) or cuberoot4 = 4^ (1/3). Vice versa with rational exponent equations: 5^ (1/2) = sqrt5 or 3^4/3 = cuberoot3^4