Question

calcula.las raises indicadas
[tex] \sqrt{81 \: \: \sqrt[3]{125} } \sqrt[3]{ - 729} \sqrt[4]{81} \sqrt[ \: 5]{ - 32} \sqrt[6]{4096} [/tex]
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Answer 1

Verified answer

Respuesta:

[tex]$\mathcal{ESPERO \ \ QUE \ \ TE \ \ SIRVA}$[/tex]

Explicación paso a paso:

[tex]\sqrt{81\sqrt[3]{125}}\sqrt[3]{-729}\sqrt[4]{81}\sqrt[5]{-32}\sqrt[6]{4096}\\\\=\sqrt{81\sqrt[3]{125}}\sqrt[3]{-729}\cdot \:3\sqrt[5]{-32}\sqrt[6]{4096}\\\\=\sqrt{81\sqrt[3]{125}}\sqrt[3]{-729}\cdot \:3\sqrt[5]{-32}\cdot \:4\\\\=\sqrt{81\sqrt[3]{125}}\left(-9\right)\cdot \:3\sqrt[5]{-32}\cdot \:4\\\\=\sqrt{81\sqrt[3]{125}}\left(-9\right)\cdot \:3\left(-2\right)\cdot \:4\\\\=9\cdot \:3\cdot \:2\cdot \:4\sqrt{81\sqrt[3]{125}}\\\\=216\sqrt{81\sqrt[3]{125}}\\=216\cdot \:9\sqrt{5}\\=1944\sqrt{5}[/tex]