B) $$^3\sqrt{\frac{2}{3}^3\sqrt{\frac{3}{2}}\sqrt{\frac{2}{3}}}$$;

B) $$^3\sqrt{\frac{2}{3}^3\sqrt{\frac{3}{2}}\sqrt{\frac{2}{3}}}$$;

$$^3\sqrt{\frac{2}{3}^3\sqrt{\frac{3}{2}}\sqrt{\frac{2}{3}}} = \sqrt[3]{\frac{2}{3}^3\sqrt{\frac{3}{2}}\sqrt{\frac{2}{3}}} = \sqrt[3]{\left(\frac{2}{3}\right)^3\cdot \left(\frac{3}{2}\right)^{\frac{1}{3}}\cdot \left(\frac{2}{3}\right)^{\frac{1}{2}}} = \sqrt[3]{\left(\frac{2}{3}\right)^{\frac{18}{6}}\cdot \left(\frac{3}{2}\right)^{\frac{2}{6}}\cdot \left(\frac{2}{3}\right)^{\frac{3}{6}}} = \sqrt[3]{\left(\frac{2}{3}\right)^{\frac{21}{6}}\cdot \left(\frac{3}{2}\right)^{\frac{2}{6}}} = \sqrt[3]{\left(\frac{2}{3}\right)^{\frac{19}{6}}} = \left(\frac{2}{3}\right)^{\frac{19}{6*3}} = \left(\frac{2}{3}\right)^{\frac{19}{18}} = \sqrt[18]{\left(\frac{2}{3}\right)^{19}} = \frac{2}{3}\sqrt[18]{\left(\frac{2}{3}\right)} = \frac{2}{3}\sqrt[18]{\frac{2}{3}}$$

Ответ: $$\frac{2}{3}\sqrt[18]{\frac{2}{3}}$$