Answer:
The simplified expression is: [tex]81a^4b^{12}[/tex]
Step-by-step explanation:
To simplify the expression given we, need to open the brackets, and if there is power term. then we need to find the individual power of each variable.
Now the expression that is given to us is:
[tex](-3 ab^3 )^4[/tex]
Here we will simplify it, as follows:
[tex]\left(-3ab^3\right)^4=\left(3ab^3\right)^4[/tex]
as we know that when n is even we have:
[tex]\left(-a\right)^n=a^n[/tex]
Now, the expression is simplified as:
[tex]\left(3ab^3\right)^4\\=81a^4b^{12}[/tex]
So this is the required simplified form.