Answer:
4). [tex]8a^{3}b^{15}[/tex]
Step-by-step explanation:
The Given expression is that,
[tex](2ab^{5})^{3}[/tex]
On simplifying,
[tex](2ab^{5})^{3}[/tex] = [tex](2ab^{5} )(2ab^{5}) (2ab^{5})[/tex]
= [tex](2^{3} ) * (ab^{5})^{3}[/tex]
= (2×2×2) × ([tex]ab^{5}[/tex] × [tex]ab^{5}[/tex] × [tex]ab^{5}[/tex])
= [tex]8a^{3}b^{15}[/tex]
Thus, option 4 i.e. [tex]8a^{3}b^{15}[/tex] is the correct simplification of the given expression.