[tex]24 {3}^{ - 3} \times \frac{ {81}^{4} }{ {27}^{2} } [/tex]
[tex]( {3}^{5} ) {}^{ - 3} \times \frac{( {3}^{4} {)}^{4} }{( {3}^{3} {)}^{2} } [/tex]
[tex] {3}^{ - 15} \times \frac{ {3}^{16} }{ {3}^{6} } [/tex]
[tex] {3}^{ - 15} \times {3}^{10} [/tex]
[tex] {3}^{ - 15 + 10} [/tex]
[tex] {3}^{ - 5} = \frac{1}{ {3}^{5} } [/tex]
[tex] \frac{1}{3 \times 3 \times 3 \times 3 \times 3} = \boxed{\bf\blue{ \frac{1}{243} }}[/tex]