Question

$[( \frac{3}{5}) ^7:(2-1 \frac{2}{5})^4+5:1 \frac{1}{4}-( \frac{3}{5} )^3]:1 \frac{3}{5} = ? AJUTOR.$

Answer 1

$[( \frac{3}{5}) ^{2}:(2-1 \frac{2}{5})^4+5:1 \frac{1}{4}-( \frac{3}{5})^3]:1 \frac{3}{5}= \\ \\\left[ \frac{9}{25}:(5/2- \frac{7}{5})^4+5: \frac{5}{4}- \frac{27}{125}]: \frac{8}{5}=$
$[ \frac{9}{25}:( \frac{10-7}{5})^4+4- \frac{27}{125}]: \frac{8}{5}= \\ \\\left[ \frac{9}{25}: (\frac{3}{5})^4+4- \frac{27}{125}\right]: \frac{8}{5} = \\ \\ ( \frac{9}{25}: \frac{81}{625}+4- \frac{27}{125}): \frac{8}{5}= \\ \\( \frac{25}{9}+^9/4- \frac{27}{125}): \frac{8}{5}= \\ \\( \frac{25+36}{9}- \frac{27}{125}): \frac{8}{5}= \\ \\ ( ^{125}/\frac{61}{9}- ^9/\frac{27}{125}): \frac{8}{5}= \\ \\ ( \frac{7625-243}{1125}): \frac{8}{5}=$
$\frac{7382}{1125}: \frac{8}{5}= \frac{7382}{1125}\cdot \frac{5}{8}= \frac{14764}{225}$