Answer:
[tex]\large\boxed{{144x^8y^8}}[/tex]
Step-by-step explanation:
[tex](-3xy^3) ^2 (4x^3y) ^2[/tex]
[tex]\boxed{\text{Use the property: }(a^n b^m)^k= a^{nk} b^{mk}}[/tex]
[tex](9x^2y^6) (16x^6y^2)[/tex]
[tex]\text{Take } 9 \cdot 16, x^2 \cdot x^6, y^6\cdot y^2[/tex]
[tex]\boxed{\text{Use the property: }a^n a^m= a^{n+m}}[/tex]
[tex]144x^8y^8[/tex]
[tex]\therefore (-3xy^3) ^2 (4x^3y) ^2 = 144x^8y^8[/tex]
