Question

c. (3/5)-² • (5/2)-¹ - (4/3)-² • (1/4)-²​

Answer 1

Resposta:

$c)\\ \\ \\ (\frac{3}{5} )^{-2} .(\frac{5}{2} )^{-1} -(\frac{4}{3} )^{-2} .(\frac{1}{4} )^{-2} =\\ \\ \\ \frac{1}{(\frac{3}{5} )^{2} } .\frac{1}{(\frac{5}{2} )^{1} } -\frac{1}{(\frac{4}{3} )^{2} } .\frac{1}{(\frac{1}{4} )^{2} } =\\ \\ \\ \frac{1}{\frac{9}{25} } .\frac{1}{\frac{5}{2} } -\frac{1}{\frac{16}{9} } .\frac{1}{\frac{1}{16} } =\\ \\ \\ (1.\frac{25}{9} .1.\frac{2}{5} )-(1.\frac{9}{16} .1.\frac{16}{1} )=\\ \\ \\ \frac{50}{45} -\frac{144}{16} =\\ \\ \\ \frac{10}{9} -9=\\ \\ \\ \frac{10-81}{9} =$

$-\frac{71}{9}$