The correct option is c) 729
Explanation :-
[tex] \frac{1}{ {3}^{ - 2} {x }^{ - 4} {y}^{2} } [/tex]
[tex] = \frac{ {3}^{2} {x}^{4} }{ {y}^{2} } [/tex]
Now , we just need to substitute " x = 3 " and " y = -1 " in the equation above.
[tex] ⇢ \frac{ {3}^{2} {(3)}^{4}}{ {( - 1)}^{2} } [/tex]
[tex] = \frac{3 \times 3 \times 3 \times 3 \times 3 \times 3}{( -1) \times ( - 1)} [/tex]
[tex] = \frac{729}{1} [/tex]
[tex] = \underline { \boxed{ 729}}[/tex]
