Вычислить значение выражения $2^{\frac{2}{5}} \cdot 2^{\frac{3}{5}}$

Давай разберем эти примеры с дробями и степенями. 1) $2^{\frac{2}{5}} \cdot 2^{\frac{3}{5}} = 2^{\frac{2}{5} + \frac{3}{5}} = 2^{\frac{5}{5}} = 2^1 = 2$ 2) $5^{\frac{3}{8}} \cdot 5^{\frac{5}{8}} = 5^{\frac{3}{8} + \frac{5}{8}} = 5^{\frac{8}{8}} = 5^1 = 5$ 3) $4^{\frac{5}{6}} : 4^{\frac{1}{3}} = 4^{\frac{5}{6} - \frac{1}{3}} = 4^{\frac{5}{6} - \frac{2}{6}} = 4^{\frac{3}{6}} = 4^{\frac{1}{2}} = \sqrt{4} = 2$ 4) $9^{\frac{1}{3}} : 9^{\frac{5}{6}} = 9^{\frac{1}{3} - \frac{5}{6}} = 9^{\frac{2}{6} - \frac{5}{6}} = 9^{-\frac{3}{6}} = 9^{-\frac{1}{2}} = \frac{1}{\sqrt{9}} = \frac{1}{3}$ 5) $(8^{\frac{1}{15}})^{-5} = 8^{\frac{1}{15} \cdot (-5)} = 8^{-\frac{5}{15}} = 8^{-\frac{1}{3}} = \frac{1}{\sqrt[3]{8}} = \frac{1}{2}$