Simplify and write the final answer as a single fraction containing powers of primes

MATHEMATICS · Subjective · CBSE · Mathematics · Number Systems · Number Systems

Problem

Simplify

\displaystyle \left(\frac{3^2 x^{-1}}{2 y^{2}}\right)^{-2}\times \frac{6 x^{3}}{y^{-1}}

and write the final answer as a single fraction containing powers of primes,

x

and

y

with positive exponents.