Question

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Answer 1

Resposta e passo-a-passo:

29) a) $\sqrt[5]{7^{3} } = 7^{\frac{3}{5} }$

b) $\sqrt[6]{5^{5} } = 5^{\frac{5}{6} }$

c) $\sqrt[10]{3^{3} } = 3^{\frac{3}{10} }$

d) $\sqrt[15]{2^{7} } = 2^{\frac{7}{15} }$

e) $\sqrt[8]{\frac{2}{3} } = (\frac{2}{3})^{\frac{1}{8}}$

f) $\sqrt[5]{(\frac{1}{3})^{2} } = (\frac{1}{3})^{\frac{2}{5}}$

g) $\sqrt[7]{3^{6} } = 3^{\frac{6}{7} }$

h) $\sqrt[20]{3^{11} } = 3^{\frac{11}{20} }$

30) a) $7^{0,333...} = 7^{\frac{1}{3}} = \sqrt[3]{7^{1} }$

b) $2^{\frac{7}{8}} = \sqrt[8]{2^{7} }$

c) $5^{\frac{3}{4}} = \sqrt[4]{5^{3} }$

d) $9^{0,75} = 9^{\frac{3}{4}} = \sqrt[4]{9^{3} }$

e) $(\frac{2}{5} )^{\frac{1}{3} } = \sqrt[3]{(\frac{2}{5}})^{1}$

f) $(\frac{4}{9} )^{1,666...} = (\frac{4}{9} )^{\frac{5}{3} } = \sqrt[3]{(\frac{4}{9})^{5} }$

g) $0,25^{1,25} =\frac{1}{4}^{\frac{5}{4} } =\sqrt[4]{(\frac{1}{4})^{5} }$

h) $3,5^{\frac{7}{10} }$$=\frac{32}{9}^{\frac{7}{10} } = \sqrt[10]{(\frac{32}{9})^{7} }$