Respuesta:
Explicación paso a paso:
a. [tex](\sqrt[3]{8} )^{6} = 8^{\frac{6}{3} } = 8^{2} = 64[/tex]
b. [tex](\sqrt[6]{25} )^{3} = 25^{\frac{3}{6} } = 25^{\frac{1}{2} } = \sqrt{25} = 5[/tex]
c. [tex]\sqrt[7]{32} .\sqrt[7]{4} = \sqrt[7]{32.4} = \sqrt[7]{32.4 } =\sqrt[7]{2^{5}.2^{2} }[/tex] = [tex]\sqrt[7]{2^{7} } = 7[/tex]
d. [tex]\sqrt[5]{81} .\sqrt[5]{3} = \sqrt[5]{81.3} = \sqrt[5]{3^{4}.3 } = 3[/tex]
e. [tex]\sqrt{16}[/tex] ÷ [tex]\sqrt{4} =[/tex] 4 ÷ 2 = 2
f. [tex]\sqrt[5]{ -64 } : \sqrt[5]{2} = \sqrt[5]{-64:2} = \sqrt[5]{-2^{5} } = -2[/tex]
g [tex]\sqrt[3]{ \sqrt[5]{8} } = \sqrt[3.5]{2^{3} } = \sqrt[5]{8}[/tex]
