Question

⁵√4.⁵√-4.⁵√-2
ayuda porfavor​

Answer 1

Respuesta:

2

Explicación paso a paso:

$\sqrt[5]{4}\sqrt[5]{-4}\sqrt[5]{-2}\\\\\sqrt[5]{-4}=-\sqrt[5]{4}\\\\=\sqrt[5]{4}\left(-\sqrt[5]{4}\right)\sqrt[5]{-2}\\\\\sqrt[5]{-2}=-\sqrt[5]{2}\\\\=\sqrt[5]{4}\left(-\sqrt[5]{4}\right)\left(-\sqrt[5]{2}\right)\\\\\sqrt[5]{4}\left(-\sqrt[5]{4}\right)\left(-\sqrt[5]{2}\right)=\sqrt[5]{4}\sqrt[5]{4}\sqrt[5]{2}\\\\=\sqrt[5]{4}\sqrt[5]{4}\sqrt[5]{2}\\\\\sqrt[5]{4}\sqrt[5]{4}\sqrt[5]{2}=\sqrt[5]{4\cdot \:4\cdot \:2}\\\\=\sqrt[5]{4\cdot \:4\cdot \:2}\\\\4\cdot \:4\cdot \:2=32$

$=\sqrt[5]{32}\\\\=2$