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]{16}
$ results to
\begin{array}{l}\require{cancel}
\dfrac{\sqrt[3]{5y}}{\sqrt[3]{4}}\cdot\dfrac{\sqrt[3]{16}}{\sqrt[3]{16}}
\\\\=
\dfrac{\sqrt[3]{5y(16)}}{\sqrt[3]{4(16)}}
\\\\=
\dfrac{\sqrt[3]{80y}}{\sqrt[3]{64}}
\\\\=
\dfrac{\sqrt[3]{8\cdot10y}}{\sqrt[3]{64}}
\\\\=
\dfrac{\sqrt[3]{(2)^3\cdot10y}}{\sqrt[3]{(4)^3}}
\\\\=
\dfrac{2\sqrt[3]{10y}}{4}
\\\\=
\dfrac{\cancel{2}\sqrt[3]{10y}}{\cancel{2}\cdot2}
\\\\=
\dfrac{\sqrt[3]{10y}}{2}
.\end{array}
