Question

resolva :
$a) \sqrt[6]{16} \\ b) \sqrt[8]{64} \\ c) \sqrt[12]{1024}$
respondam rápido pfvr ​

Answer 1

Resposta:

A) ³√4

B) ⁴√8

C) ⁶√32

Explicação passo-a-passo:

A) ⁶√2⁴ => ³√2² => ³√4

B) ⁸√2⁶ => ⁴√2³ => ⁴√8

C) ¹²√2¹⁰ => ⁶√2⁵ => ⁶√32

Answer 2

Resposta:

Boa tarde!

Explicação passo-a-passo:

Vamos lá!

• Fatorando as raízes, temos:

$\sqrt[6]{16} =\sqrt[6]{2^{4} } =2^{\frac{4}{6} } = 2^{\frac{2}{3} } \\\\\\\sqrt[8]{64} =\sqrt[8]{2^{6} } =2^{\frac{6}{8} }=2^{\frac{3}{4} }\\\\\\\sqrt[12]{1024} =\sqrt[12]{2^{10} } =2^{\frac{10}{12} }=2^{\frac{5}{6} }\\\\\\\\\\Inversao\\\\2^{\frac{2}{3} } =\sqrt[3]{2^{2} } =\sqrt[3]{4} \\\\\\2^{\frac{3}{4} } =\sqrt[4]{2^{3} } =\sqrt[4]{8}\\\\\\2^{\frac{5}{6} } =\sqrt[6]{2^{5} } =\sqrt[6]{32}$