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Решите задачу:

$[( \frac{1}{81} )^{-1/2}*(-0,1)^{-2}+(0,01)^{-1}]^{-1/3} = \\ = [( 81 )^{1/2}*(- \frac{1}{0,1} )^{2}+ \frac{1}{0,01} ]^{-1/3} = [ \sqrt{81} (10 )^{2}+ 100 ]^{-1/3}= \\ = \frac {1}{ [ 9*100+ 100 ]^{1/3}}= \frac {1}{ \sqrt[3]{1000 }}= \frac{1}{10} =0,1$

$\frac{110^6*77^4}{55^8*154^2} = \frac{(55*2)^6*77^4}{55^8*(77*2)^2} =\frac{55^6*2^6*77^4}{55^8*77^2*2^2} =\frac{2^4*77^2}{55^2} =\frac{2^4*(11*7)^2}{(11*5)^2} = \\ =\frac{2^4*11^2*7^2}{11^2*5^2} = \frac{2^4*7^2}{5^2} =( \frac{4*7}{5} )^2= ( 0,8*7 )^2=5,6^2=31,36$