Resposta:

[tex]\textsf{Leia abaixo}[/tex]

Explicação passo a passo:

[tex]\mathsf{a)\:\sqrt[2]{416} = \sqrt[2]{4^2.26} = 4\sqrt[2]{26}}[/tex]

[tex]\mathsf{b)\:\sqrt[3]{54} = \sqrt[3]{2.3^3} = 3\sqrt[3]{2}}[/tex]

[tex]\mathsf{c)\:\sqrt[5]{128} = \sqrt[5]{2^5.4} = 2\sqrt[5]{4}}[/tex]

[tex]\mathsf{d)\:\sqrt[4]{162} = \sqrt[4]{2.3^4} = 3\sqrt[4]{2}}[/tex]

[tex]\mathsf{e)\:\sqrt[7]{512} = \sqrt[7]{2^7.4} = 2\sqrt[7]{4}}[/tex]