Answer:
[tex]-108x^{5}y^{7}[/tex]
Step-by-step explanation:
Simplify using the laws of exponents (there are more rules than listed, these given rules are just the ones that come into play here);
- when there is a term in parenthesis with an exponent outside, the term's exponent gets multiplied by the exponent outside
- when multiplying two exponents, one can only combine terms with the same base, and one must add the exponents
[tex](3xy^{2})^{3}*(-4x^{3}y)\\\\=(3^{3}*x^{3}*y^{2{^{3}}}) *(-4x^{2}y)\\\\=(27x^{3}y^{6})(-4x^{2}y)\\\\=-108x^{5}y^{7}[/tex]
