Question

Care număr din perechea următoare este mai mare? Vreau rezolvare:
${0.7}^{ \frac{5}{3} } \: \: \: ? \: \: \: \: \sqrt[3]{ \frac{7}{10} }$

Answer 1

[tex]0.7^{\frac{5}{3}}=(\frac{7}{10})^{\frac{5}{3}}\\ \sqrt[3]{\frac{7}{10}}=(\frac{7}{10})^{\frac{1}{3}}\\ 0.7^{\frac{5}{3}}\, \ \textgreater \ \, \sqrt[3]{\frac{7}{10}}\\ (\frac{7}{10})^{\frac{5}{3}}\, \ \textgreater \ \,(\frac{7}{10})^{\frac{1}{3}}\\ \frac{5}{3}\, \ \textgreater \ \, \frac{1}{3}\\ 5 \ \textgreater \ 1 [/tex]