2) \(2^{\sqrt5}\cdot2^{-\sqrt5}\); \(3^{2\sqrt2}:9^{\sqrt2}\); \((5^{-\sqrt3})^{\sqrt3}\).

1. \[2^{\sqrt5}\cdot2^{-\sqrt5}=2^{\sqrt5-\sqrt5}=2^0=1.\]
2. \[3^{2\sqrt2}:9^{\sqrt2}=3^{2\sqrt2}:(3^2)^{\sqrt2}=3^{2\sqrt2}:3^{2\sqrt2}=1.\]
3. \[(5^{-\sqrt3})^{\sqrt3}=5^{-\sqrt3\cdot\sqrt3}=5^{-3}=\frac1{125}.\]

Ответ: 1; 1; \(\dfrac1{125}\).