Задача 10: \(\left(\frac{2}{3}\right)^2\cdot\left(\frac{2}{3}\right)^3\)

\[ \left(\frac{2}{3}\right)^2\cdot\left(\frac{2}{3}\right)^3=\left(\frac{2}{3}\right)^{2+3}=\left(\frac{2}{3}\right)^5=\frac{32}{243}. \]

Ответ: \(\frac{32}{243}\).