Answer:
D) [tex](16)*x^{4} *(y^{12})[/tex] is correct answer .
Step-by-step explanation:
Given : [tex](2xy^{3})^{4}[/tex].
To find : Simplify.
Solution : We have given that [tex](2xy^{3})^{4}[/tex].
By the exponential rule : [tex](ab)^{c} = a^{c}*b^{c}[/tex].
[tex](2xy^{3})^{4}[/tex] = [tex](2^{4})*x^{4} *(y^{3})^{4}[/tex].
[tex](2xy^{3})^{4}[/tex] = [tex](16)*x^{4} *(y^{12})[/tex].
Therefore, D) [tex](16)*x^{4} *(y^{12})[/tex] is correct answer .
