Simplify the given expression. Assume that all variables represent positive real numbers. Write answers with only positive exponents.

$\frac{(121k^{-2}{)}^3}{11k^{-9}}$

$\frac{(121k^{-2}{)}^3}{11k^{-9}}=$

$($Simplify your answer. Use integers or fractions for any numbers in the expression.$)$