Question

necesito que hagan esto, la uno no requiere de toda la operación, pero en la 2 necesito que me dejen la operación hecha

Answer 1

ACTIVIDAD 1

$a) (\frac{2}{3} ) {}^{2} \div ( \frac{2}{3} ) {}^{1} = \frac{2}{3}$

$b)( \frac{12}{3} ) {}^{2} \div ( \frac{12}{3} ) {}^{0} = 16$

$c)( \frac{2}{9} ) {}^{21} \div (\frac{2}{9} ) {}^{23} = \frac{81}{4}$

$d)( \frac{4}{5} ) {}^{29} \div ( \frac{4}{5} ) {}^{10} \div ( \frac{4}{5} ) {}^{3} = ( \frac{4}{5} ) {}^{16}$

$e)( - \frac{5}{6} ) {}^{2} \div ( - \frac{5}{6} ) {}^{1} = - \frac{5}{6}$

$f)(( \frac{2}{3} ) {}^{2} ) {}^{3} = ( \frac{2}{3} ) {}^{6} = \frac{64}{729}$

$g)(( \frac{2}{3} ) {}^{2} ) {}^{ - 1} = \frac{9}{4}$

$h)( \frac{2}{3} ) {}^{7} \div (( \frac{2}{3} ) {}^{ - 5} ) {}^{ - 1} = ( \frac{2}{3}) {}^{7} \div ( \frac{2}{3} ) {}^{5} = \frac{4}{9}$

$i)(( \frac{4}{3} ) {}^{2} \times ( \frac{4}{3} ) {}^{3} ) {}^{3} \div ( \frac{4}{3} ) {}^{8} = ( \frac{4}{3} ) {}^{15} \div ( \frac{4}{3} ) {}^{8} = ( \frac{4}{3} ) {}^{7} = \frac{16384}{2187}$

ACTIVIDAD 2

$a) \frac{5}{12} - ( \frac{7}{3} ) {}^{ - 1} \div ( \frac{4}{3} + 2) \\ \frac{5}{12} - \frac{3}{7} \div \frac{10}{3} \\ \frac{5}{12} - \frac{3}{7} \times \frac{3}{10} \\ \frac{5}{12} - \frac{9}{70} \\ \frac{121}{420}$

$b)( \frac{6}{7} ) {}^{0} + \frac{16}{50} \times \frac{25}{4} - ( \frac{1}{2} ) { }^{9} \div ( \frac{1}{2} ) {}^{6} \\ 1 + \frac{4}{2} - ( \frac{1}{2} ) {}^{3} \\ 1 + 2 - \frac{1}{8} \\ 3 - \frac{1}{8} \\ \frac{23}{8} \\ 2.875$