Answer
$\dfrac{\sqrt[3]{10y}}{2}$
Work Step by Step
Multiplying the numerator and the denominator of the given expression, $
\dfrac{\sqrt[3]{5y}}{\sqrt[3]{4}}
,$ by $
\sqrt[3]{2}
$ results to
\begin{array}{l}\require{cancel}
\dfrac{\sqrt[3]{5y}}{\sqrt[3]{4}}\cdot\dfrac{\sqrt[3]{2}}{\sqrt[3]{2}}
\\\\=
\dfrac{\sqrt[3]{5y(2)}}{\sqrt[3]{4(2)}}
\\\\=
\dfrac{\sqrt[3]{10y}}{\sqrt[3]{8}}
\\\\=
\dfrac{\sqrt[3]{10y}}{\sqrt[3]{(2)^3}}
\\\\=
\dfrac{\sqrt[3]{10y}}{2}
.\end{array}
