Question

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Answer 1

Respuesta:

Explicación paso a paso:

$(\frac{1}{2} )^{7} : (\frac{1}{2})^{4} =(\frac{1}{2} )^{7-4} =(\frac{1}{2} )^{3} =\frac{1^{3} }{2^{3} } =\frac{1}{8}$

$(-\frac{2}{3})^{2} . (-\frac{2}{3} )^{4} = (-\frac{2}{3})^{2+4} = (-\frac{2}{3})^{6}=\frac{2^6}{3^6}= \frac{64}{729}$

$((\frac{1}{3} )^2)^{-1} = (\frac{1}{3})^{2.-1}= (\frac{1}{3})^{-2}= (\frac{3}{1})^2 = (\frac{3^{2} }{1^{2} } ) = \frac{9}{1} = 9$

$(\frac{1}{2} .\frac{3}{2} )^{2} = (\frac{3}{4} )^{2} =\frac{3^{2} }{4^{2} } =\frac{9}{16}$

$(\frac{3}{4}) ^{8} : (\frac{3}{4} )^{5} = (\frac{3}{4})^{8-3} = (\frac{3}{4}) ^{5}=\frac{3^{5} }{4^{5} } = \frac{243}{256}$

$\frac{2^{3} }{2^{6} }= 2^{3-6}= 2^{-3} =\frac{1}{2^{3} } =\frac{1}{8}$

$(-\frac{1}{3} )^{2} : (\frac{1}{3})^{5} = (-\frac{1}{3})^{2-3} =(-\frac{1}{3})^{-1} =\frac{1}{3}$

$(\frac{4}{5} )^4 . (\frac{4}{5} )^{-6} = (\frac{4}{5} )^{-2} =(\frac{5}{4} )^{2} =\frac{25}{16}$