Answer:
[tex]1.) \: (n^{4})^{ \frac{3}{2} } = n ^{(4)( \frac{3}{2}) } = n^{ \frac{12}{2} } = {n}^{6} [/tex]
[tex]2.) \: (9 {r}^{4} )^{ \frac{1}{2 } } = ({9}^{ \frac{1}{2} } )( {r}^{4( \frac{1}{2} )}) = 3 {r}^{2} [/tex]
[tex]3.) \: ( {b}^{2} )^{ \frac{1}{2 } } = {b}^{2( \frac{1}{2} )} = b[/tex]
[tex]4.) \: \frac{ {b}^{4} }{ {b}^{ \frac{1}{2} } } = {b}^{4}(b^{ - \frac{1}{2} } ) = b^{4 + ( - \frac{1}{2} )} = {b}^{ \frac{8}{2} - \frac{1}{2} } = {b}^{ \frac{7}{2} } [/tex]
