Answer
$11.64m^3n^3+7.8m^3n^4-15.6m^2n^5.$
Work Step by Step
By multiplying each term of the polynomial by the factor $1.2m^2n^3$ and then adding the products, we have
$$
1.2m^2n^3(9.7m + 6.5mn - 13n^2)\\
=1.2m^2n^3(9.7m )+1.2m^2n^3( 6.5mn )+1.2m^2n^3(- 13n^2)\\
=11.64m^3n^3+7.8m^3n^4-15.6m^2n^5.
$$