$\frac{ {6}^{-2} \times {6}^{3} }{ \sqrt{ 6 } }$
Calculate the product$\frac{ 6 }{ \sqrt{ 6 } }$
Multiply the fraction by $\frac{ \sqrt{ 6 } }{ \sqrt{ 6 } }$$\frac{ 6 }{ \sqrt{ 6 } } \times \frac{ \sqrt{ 6 } }{ \sqrt{ 6 } }$
To multiply the fractions, multiply the numerators and denominators separately$\frac{ 6\sqrt{ 6 } }{ \sqrt{ 6 }\sqrt{ 6 } }$
When a square root of an expression is multiplied by itself, the result is that expression$\frac{ 6\sqrt{ 6 } }{ 6 }$
Cancel out the common factor $6$$\begin{align*}&\sqrt{ 6 } \\&\approx2.44949\end{align*}$