Respuesta:
2
Explicación paso a paso:
[tex]\sqrt[5]{4}\sqrt[5]{-4}\sqrt[5]{-2}\\\\\sqrt[5]{-4}=-\sqrt[5]{4}\\\\=\sqrt[5]{4}\left(-\sqrt[5]{4}\right)\sqrt[5]{-2}\\\\\sqrt[5]{-2}=-\sqrt[5]{2}\\\\=\sqrt[5]{4}\left(-\sqrt[5]{4}\right)\left(-\sqrt[5]{2}\right)\\\\\sqrt[5]{4}\left(-\sqrt[5]{4}\right)\left(-\sqrt[5]{2}\right)=\sqrt[5]{4}\sqrt[5]{4}\sqrt[5]{2}\\\\=\sqrt[5]{4}\sqrt[5]{4}\sqrt[5]{2}\\\\\sqrt[5]{4}\sqrt[5]{4}\sqrt[5]{2}=\sqrt[5]{4\cdot \:4\cdot \:2}\\\\=\sqrt[5]{4\cdot \:4\cdot \:2}\\\\4\cdot \:4\cdot \:2=32\\\\[/tex]
[tex]=\sqrt[5]{32}\\\\=2[/tex]
