Odpowiedź:
a)
[tex]((\frac{3}{4} )^{-1} -(1,5)^{-1} )^{-2} =(\frac{4}{3} -(\frac{3}{2} )^{-1} )^{-2} = (\frac{4}{3} -\frac{2}{3} )^{-2} =(\frac{2}{3} )^{-2} =(\frac{3}{2} )^{2}=\frac{9}{4}[/tex]
b)
[tex](\sqrt[3]{8^{-1} } + \sqrt[4]{9^{-2} }) ^{-1} = (\sqrt[3]{\frac{1}{8}} + \sqrt[4]{(\frac{1}{9}) ^{2} }) ^{-1}=(\frac{1}{2}+\sqrt[4]{\frac{1}{81} } )^{-1} =(\frac{1}{2}+\frac{1}{3})^{-1} = (\frac{3}{6}+\frac{2}{6})^{-1}=(\frac{5}{6} )^{-1} = \frac{6}{5}[/tex]