We are given the following expression
[tex](4^3)^5[/tex]Recall the power rule of exponents given by
[tex](a^x)^y=a^{x\times y}[/tex]As you can see, the powers get multiplied.
So, the expression can be written as
[tex](4^3)^5=4^{3\times5}=4^{15}[/tex]Therefore, the following expression is equivalent to the given expression
[tex]4^{15}[/tex]Option B is the correct answer.