Answer:
D
Step-by-step explanation:
Use main properties of powers:
1. [tex](a\cdot b)^m=a^m\cdot b^m;[/tex]
2. [tex](a^m)^n=a^{mn}.[/tex]
Thus,
[tex](-3ab^3)^4=(-3)^4\cdot a^4\cdot (b^3)^4.[/tex]
Hence,
[tex](-3)^4=81,\\ \\(b^3)^4=b^{3\cdot 4}=b^{12},[/tex]
then
[tex](-3ab^3)^4=(-3)^4\cdot a^4\cdot (b^3)^4=81a^4b^{12}.[/tex]
