[latex](3 x^{2}y) ^{2}*(-2xy^{2})[/latex]

(3x²y)² *(-2xy²)=3² *(x²)² *y² *(-2)*x*y²=9*(-2)*(x⁴ *x)*(y² *y²)=-18*x⁴⁺¹ *y²⁺²=-18x⁵y⁴

[latex]=3 ^{2} x^{2*2} y ^{2} *(-2xy ^{2} )=9x ^{4} y ^{2} *(-2xy ^{2} )=-9*2x ^{4+1} y ^{2+2} =-18x ^{5} y ^{4} [/latex]