Question

Va rog ex 5 . Dau coroana !

Answer 1

Răspuns:

$a) \: 7 \div ( \frac{5}{2} - \frac{2}{5} ) + \frac{11}{30} \div \frac{5}{3} + ({ - 1})^{2005} = \\ 7 \div ( \frac{25 - 4}{10} ) + \frac{11}{30} \times \frac{3}{5} - 1 = \\ 7 \div \frac{21}{10} + \frac{11}{50} - 1 = \\ 7 \times \frac{10}{21} + \frac{11}{50} - 1 = \\ \frac{10}{3} + \frac{11}{50} - 1 = \\ \frac{500 + 33}{150} - 1 = \\ \frac{533}{150} - 1 = \\ \frac{533 - 150}{150} = \\ = \frac{383}{150} \\ b) \: (( { - \frac{3}{4} })^{6} \times ({ - \frac{3}{4} })^{3} \div ({ - \frac{3}{4} })^{8} )^{4} \div (1 - \frac{1}{4} ) \times (1 + \frac{1}{2} ) = \\ ( ({ - \frac{3}{4} })^{9} \div ({ - \frac{3}{4} })^{8} )^{4} \div ( \frac{4 - 1}{4} ) \times ( \frac{2 + 1}{2} ) = \\ ( - \frac{3}{4} )^{4} \div \frac{3}{4} \times \frac{3}{2} = \\ ( - \frac{3}{4} )^{3} \times \frac{3}{2} = \\ - \frac{27}{64} \times \frac{3}{2} = \\ = - \frac{81}{128}$