Question

DOY CORONITA:
POR FA

Answer 1

Respuesta:

$\frac{13}{10}$

Explicación paso a paso:

${\left(\frac{ \: 5 \: }{6}\right)}^{ - 1} - \left[ \frac{4}{5} \: \cdot \:{\left( \sqrt {\frac{9}{64}} - \frac{6}{9} \times \frac{3}{4} \right)} \right] \\ \\ = \frac{ {5}^{ - 1} }{ {6}^{ - 1} } - \left[ \frac{4}{5} \: \cdot \:{\left( {\frac{ \sqrt{9}}{ \sqrt{64} }} - \frac{2}{3} \times \frac{3}{4} \right)} \right] \\ \\ = \frac{6}{ 5} - \left[ \frac{4}{5} \: \cdot \:{\left( {\frac{ 3}{ 8}} - \frac{6}{12} \right)} \right] \\ \\= \frac{6}{ 5} - \left[ \frac{4}{5} \: \cdot \:{\left( - {\frac{ 3}{ 24}} \right)} \right] \\ \\ = \frac{6}{ 5} - \left[ \frac{4}{5} \: \cdot \:{\left( - {\frac{ 1}{ 8}} \right)} \right] \\ \\ = \frac{6}{ 5} - \left[ \:{ - {\frac{ 4}{ 40}}} \right] \\ \\ = \frac{12}{10} + \frac{1}{10} \\\\=\frac{13}{10}$