Explicación paso a paso:
[tex] \sqrt[3]{ \frac{512}{343} } = \\ \frac{ \sqrt[3]{512} }{ \sqrt[3]{343} } = \frac{ \sqrt[3]{ {8}^{3} } }{ \sqrt[3]{ {7}^{3} } } = \frac{8}{7} [/tex]
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Explicación paso a paso:
[tex] \sqrt[3]{ \frac{512}{343} } = \\ \frac{ \sqrt[3]{512} }{ \sqrt[3]{343} } = \frac{ \sqrt[3]{ {8}^{3} } }{ \sqrt[3]{ {7}^{3} } } = \frac{8}{7} [/tex]