Сравнить значения выражений: [latex] (0,35)^{8} и (-5,4)^{8} \\ -(\frac{11}{17}) ^{5} и - (\frac{6}{13}) ^{5} \\ (1- \sqrt{5})^{7} и ( \sqrt{3}-1 ) ^{2} \\ ( \sqrt{3}+1 )^{10} и ( \sqrt{2} +2) ^{10} [/latex]

 [latex] 0,35^{8} \ \textless \ 1, (-5,4)^{8}= 5,4^{8}\ \textgreater \ 1 [/latex] значит [latex]0,35^{8}\ \textless \ (-5,4)^{8} [/latex] < [latex] \frac{11}{17}= \frac{143}{221} \ \textgreater \ \frac{6}{13}= \frac{102}{221}, ( \frac{11}{17})^{5}\ \textgreater \ ( \frac{6}{13})^{5}, -( \frac{11}{17})^{5}\ \textless \ -( \frac{6}{13})^{5} [/latex] < [latex]1- \sqrt{5}\ \textless \ 0, (1- \sqrt{5})^{7}\ \textless \ 0, \sqrt{3}-1\ \textgreater \ 0, ( \sqrt{3}-1)^{2}\ \textgreater \ 0 [/latex] < [latex] \sqrt{3}+1\ \textless \ \sqrt{2}+2, (\sqrt{3}+1)^{10} \ \textless \ (\sqrt{2}+2)^{10} [/latex]