Verified Answer :

convert division to exponent neative
also, n^0=1 so get rid of that nonesense
also we have m^2/m^4 so we are left wiht 1/(m^2) or m^-2

so
\((m^3p^5n^{-7})(p^3m^{-2}n^{-2})^3\)=
\((m^3p^5n^{-7})((p^3)^3)((m^{-2})^3)((n^{-2})^3)\)=
\((m^3p^5n^{-7})(p^9)(m^{-6})(n^{-6})\)=
\((m^3)(p^5)(n^{-7})(p^9)(m^{-6})(n^{-6})\)=
\((m^{-3})(p^{14})(n^{-13})\)=
\(\frac{p^{14}}{m^3n^{13}}\)