$$\frac{ { x }^{ 3 } }{ 3y } \times \frac{ 5x }{ { y }^{ 3 } } \frac{ 10 { x }^{ 4 } }{ 9 { y }^{ 4 } }$$
$\frac{50\times \left(\frac{x}{y}\right)^{8}}{27}$
$$\frac{x^{3}\times 5x}{3yy^{3}}\times \frac{10x^{4}}{9y^{4}}$$
$$\frac{x^{3}\times 5x\times 10x^{4}}{3yy^{3}\times 9y^{4}}$$
$$\frac{x^{4}\times 5\times 10x^{4}}{3yy^{3}\times 9y^{4}}$$
$$\frac{x^{8}\times 5\times 10}{3yy^{3}\times 9y^{4}}$$
$$\frac{x^{8}\times 5\times 10}{3y^{4}\times 9y^{4}}$$
$$\frac{x^{8}\times 5\times 10}{3y^{8}\times 9}$$
$$\frac{x^{8}\times 50}{3y^{8}\times 9}$$
$$\frac{x^{8}\times 50}{27y^{8}}$$
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$\frac{400x^{7}}{27y^{8}}$
