The first step for finding out if the expression provided is equivalent to [tex] \sqrt{4} [/tex] is to reduce the fraction with[tex] x^{4} [/tex].
[tex] \frac{24 x^{2} y}{128 y^{5} } [/tex]
Now reduce the fraction with y.
[tex] \frac{24 x^{2} }{128 y^{4} } [/tex]
Finally,, reduce the fraction with 8 to get your final answer.
[tex] \frac{3 x^{2} }{16 y^{4} } [/tex]
Let me know if you have any further questions.
:)