The first step for solving this expression is to reduce the fraction with [tex] x^{5} [/tex].
[tex] \sqrt[3]{ \frac{10}{54 x^{3} } } [/tex]
Reduce the fraction with 2.
[tex] \sqrt[3]{ \frac{5}{27 x^{3} } } [/tex]
To take a root of a fraction,, you must take the root of the numerator and the denominator separately. This changes the expression to the following:
[tex] \frac{ \sqrt[3]{5} }{3x} [/tex]
Since we cannot simplify this fraction down any further,, the correct answer to your question is going to be option D,, [tex] \frac{ \sqrt[3]{5} }{3x} [/tex].
Let me know if you have any further questions.
:)
