Answer:
[tex] 2 {x}^{4} \sqrt[4]{2x {y}^{3} } [/tex]
Step-by-step explanation:
[tex] {x}^{3} \sqrt[4]{32 {x}^{5} {y}^{3} } \\ \\ = {x}^{3} \sqrt[4]{ {2}^{5} {x}^{5} {y}^{3} } \\ \\ = {x}^{3} \sqrt[4]{ {2}^{4}. 2. {x}^{4}.x. {y}^{3} } \\ \\ = {x}^{3} \sqrt[4]{(2. {x})^{4}.2x {y}^{3} } \\ \\ = {x}^{3} .2. {x}\sqrt[4]{2x {y}^{3} } \\ \\ = 2 {x}^{4} \sqrt[4]{2x {y}^{3} } [/tex]
