Answer:
[tex]\large\boxed{(-3ab^3)^4=81a^4b^{12}}[/tex]
Step-by-step explanation:
[tex]\text{Use}\\\\(xy)^n=x^ny^m\\\\(x^n)^m=x^{nm}\\---------------------\\\\(-3ab^3)^4=(-3)^4(a)^4(b^3)^4=81a^4b^{3\cdot4}=81a^4b^{12}[/tex]