Respuesta :

[tex]\bf a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} \qquad \qquad \sqrt[ m]{a^ n}\implies a^{\frac{ n}{ m}}\\\\ -------------------------------\\\\ -3(567)^{1\div 4}\implies -3(567)^{\frac{1}{4}}\implies -3(\sqrt[4]{567^1})\implies -3(\sqrt[4]{567}) \\\\\\ \begin{cases} 567=3\cdot 3\cdot 3\cdot 3\cdot 7\\ \qquad 3^4\cdot 7 \end{cases}\implies -3(\sqrt[4]{3^4\cdot 7})\implies -3(3\sqrt[4]{7})\implies -9\sqrt[4]{7}[/tex]

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