Question

Ayúdenme toy en examen

Answer 1

Respuesta:

               $\frac{1}{3}$

Explicación paso a paso:

$-\frac{x}{y} =- 12.567567567...$

$1000( \frac{x}{y} ) = 12567.567567567....$

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$999(\frac{x}{y} )= 12555$

$\frac{x}{y} = \frac{12555}{999 } =\frac{465}{37}$

$-\frac{x}{y} =- 3.567567567...$

$1000(\frac{x}{y} ) = 3567.567567567...$

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$999(\frac{x}{y} ) = 3564$

$\frac{x}{y} = \frac{3664}{999} =\frac{132}{37}$

{ $[ (12.567567567...)- (3.567567567...)]^{2}$ }$^{-\frac{1}{4} }$  =

$[ \frac{465}{37} -\frac{132}{37} ]^{2*-\frac{1}{4 } = [ \frac{333}{37} ]^{-\frac{1}{2} }$

 

$[ \frac{37}{333} ] ^{\frac{1}{2} } = \sqrt{\frac{37}{333} } = \sqrt{\frac{1}{9} } = \frac{1}{3}$