Вычислите: (6:2/3)^3.

\[\left( 6\ :\frac{2}{3} \right)^{3} = \left( 6 \cdot \frac{3}{2} \right)^{3} = \left( \frac{6 \cdot 3}{2} \right)^{3} =\]

\[= 9^{3} = 9^{2} \cdot 9 = 81 \cdot 9 = 729.\]