Question

reducir

(100^0.5 _20^-1) ^-2

Answer 1

Respuesta:

400/39601

Explicación paso a paso:

$(100^{0.5} - 20^{-1}) ^{-2}$

ojo:

${x}^{0.5} = {x}^{ \frac{1}{2} } = \sqrt{x}$

${ (\frac{x}{y} )}^{ - m} = \frac{ {y}^{m} }{ {x}^{m} }$

↓↓↓↓↓↓↓↓↓↓↓↓

$(100^{0.5} - 20^{-1}) ^{-2}$

$( \sqrt{100} - \frac{1}{20}) ^{-2}$

$(10 - \frac{1}{20} )^{ - 2}$

$(\frac{200}{20} - \frac{1}{20} )^{ - 2}$

$(\frac{200 - 1}{20})^{ - 2}$

$(\frac{199}{20})^{ - 2}$

$\frac{ {20}^{2} }{ {199}^{2} }$

$\frac{400}{39 \: 601}$