6^{-\frac{1}{2}}*\sqrt{\frac{1}{6}}
6^{-\frac{1}{2}}*\sqrt{\frac{1}{6}}=
=6^{-\frac{1}{2}}*\sqrt{6^{-1}}=
=6^{-\frac{1}{2}}*6^{-\frac{1}{2}}=6^{-1}=\frac{1}{6}