Вычислите. По теме степени с рациональным и иррациональным показателями.
[tex]1. \; (9^{-\frac{2}{3}})^{\frac{3}{4}}-(25^{\frac{5}{2}})^{-\frac{1}{10}}+((\frac{3}{4})^{-1}*(\frac{2}{9})^{\frac{6}{7}})^0:(36)^{-\frac{1}{2}};\\\\ 2. \; (4^{-\frac{1}{4}}+(\frac{1}{2^{-\frac{3}{2}}})^{-\frac{4}{3}})*(4^{-0,25}-(2\sqrt2)^{-\frac{4}{3}}).[/tex]
[tex]1. \; (9^{-\frac{2}{3}})^{\frac{3}{4}}-(25^{\frac{5}{2}})^{-\frac{1}{10}}+((\frac{3}{4})^{-1}*(\frac{2}{9})^{\frac{6}{7}})^0:(36)^{-\frac{1}{2}};\\\\ 2. \; (4^{-\frac{1}{4}}+(\frac{1}{2^{-\frac{3}{2}}})^{-\frac{4}{3}})*(4^{-0,25}-(2\sqrt2)^{-\frac{4}{3}}).[/tex]
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Verified answer
11/3-1/√5+1:1/6=1/3-1/√5+6=6 1/3-1/√5
2
(1/√2+1/4)*(1/√2-1/4)=1/2-1/16=7/16