\[\boxed{\mathbf{467}.}\]
\[1)\ \sqrt{a^{5}} = a^{\frac{5}{2}}\]
\[2)\ \sqrt[5]{x^{4}} = x^{\frac{4}{5}}\]
\[3)\ \sqrt{b^{3}} = b^{\frac{3}{2}}\]
\[4)\ \sqrt[3]{a^{- 1}} = a^{- \frac{1}{3}}\]
\[5)\ \sqrt[6]{6} = 6^{\frac{1}{6}}\]
\[6)\ \sqrt[7]{a^{- 5}} = a^{- \frac{5}{7}}\]