103858120461357319373

Verified answer

[tex] \sqrt[3]{27} = \sqrt[3]{ {3}^{3} } = 3 \\ \sqrt[4]{81} = \sqrt[4]{ {3}^{4} } = 3 \\ \sqrt[7]{ {2}^{4} } = \sqrt[7]{2 \times 2 \times 2 \times 2} = \sqrt[7]{16} \\ \sqrt[5]{( { \frac{7}{12} })^{9} } = \sqrt[5]{ \frac{ {7}^{9} }{ {12}^{9} } } = \frac{ \sqrt[5]{ {7}^{9} } }{ { \sqrt[5]{12} }^{9} } = \frac{ 7\sqrt[5]{ {7}^{4} } }{ 12\sqrt[5]{ {12}^{4} } } = \frac{ 7\sqrt[5]{ 12 \times {2401} } }{144} = \frac{7 \sqrt[5]{28812} }{144} [/tex]