Answer:
D
Step-by-step explanation:
The question is of exponents, it is shown below:
[tex](2a^3b^4)^4[/tex]
We use the rule of exponents shown below to simplify this:
The rule is [tex](ab)^x=a^x*b^x[/tex]
Using this rule we can simplify the problem as:
[tex](2a^3b^4)^4\\=2^4*(a^3)^4*(b^4)^4[/tex]
Now we can use another rule of exponents shown below to simplify further and get our answer:
The rule is [tex](a^b)^c=a^{(b*c)}[/tex]
Thus we have:
[tex]2^4*(a^3)^4*(b^4)^4\\=16*a^{12}*b^{16}[/tex]
Thus the answer is [tex]16*a^{12}*b^{16}[/tex], which is option D.
