Simplify and express the result using positive exponents; leave the coefficients as…

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

Problem

Simplify

\displaystyle \left(\frac{4m^{-2} n^{3}}{9m}\right)^{\frac{3}{2}}\times\left(\frac{27 m^{3}}{2 n}\right)^{\frac{1}{2}}

and express the result using positive exponents; leave the coefficients as powers of prime numbers.