Answer:
Option D) [tex]((125)^{\frac{1}{3}})^x[/tex]
Step-by-step explanation:
We are given the following in the question:
[tex](^3\sqrt{125})^x[/tex]
We have to write and equivalent expression for the same.
Exponential properties:
[tex]^3\sqrt{a} = a^{\frac{1}{3}}\\(a^x)^y = a^{xy}[/tex]
Using the above properties, we can write:
[tex](^3\sqrt{125})^x\\=((125)^{\frac{1}{3}})^x\\=(125)^{\frac{x}{3}}[/tex]
Thus, the correct option is
Option D) [tex]((125)^{\frac{1}{3}})^x[/tex]
