Answer :

[tex]\sqrt[3]{8x^{2}y^{3}z^{4}} \\\sqrt[3]{4y^{3}z^{3} * 2x^{2}z} \\\sqrt[3]{4y^{3}z^{3}}\sqrt[3]{2x^{2}z} \\2yz\sqrt[3]{2x^{2}z} \\The\ expression\ that\ is\ equivalent\ to\ \sqrt[3]{8x^{2}y^{3}z^{4}}\ is\ 2yz\sqrt[3]{2x^{2}z}.[/tex]

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