To convert from the fractional exponent form to the radical form, we can use the following:
[tex]a^{\frac{b}{c}}=(\sqrt[c]{a}^{})^b[/tex]
Thus, let's apply for each:
[tex]x^{\frac{1}{2}}=(\sqrt[2]{x})^1=\sqrt[]{x}\to B[/tex][tex]x^{\frac{1}{3}}=(\sqrt[3]{x})^1=\sqrt[3]{x}\to D[/tex][tex]x^{\frac{2}{3}}=(\sqrt[3]{x})^2\to C[/tex][tex]x^{\frac{3}{2}}=(\sqrt[2]{x})^3=(\sqrt[]{x})^3\to A[/tex]
