Question

CORONA A LA RESPUESTA COMPLETA. ​

Answer 1

Respuesta:

$( - \frac{3}{7} )^{5} \times ( - \frac{3}{7} )^{3} \div ( - \frac{3}{7} )^{6} = ( - \frac{3}{7} )^{5 + 3} \div ( - \frac{3}{7} )^{6} = ( - \frac{3}{7} )^{8 - 6} = ( - \frac{3}{7} )^{2} = ( - \frac{3}{7} )( - \frac{3}{7} ) = \frac{9}{49}$

${ ({( - \frac{5}{4} )}^{2}) }^{4} \times ( - \frac{5}{4} )^{5} \div ( - \frac{5}{4} )^{15} = ( - \frac{5}{4} )^{2 \times 4} \times ( - \frac{5}{4} )^{5} \div ( - \frac{5}{4} )^{15} = ( - \frac{5}{4} )^{8 + 5} \div ( - \frac{5}{4} )^{15} = ( - \frac{5}{4} )^{13 - 15} = ( - \frac{5}{4} )^{ - 2} = ( - \frac{4}{5} )^{2} = \frac{16}{25}$

con esos 2 ejemplos en claro, resolveré los problemas más directos.

$( \frac{2}{7} )^{ - 2} \times ( \frac{2}{5} )^{5} \div ( \frac{2}{7} )^{6} = ( \frac{2}{7} )^{3 - 6} = ( \frac{2}{7} )^{ - 3} = ( \frac{7}{2} )^{3} = \frac{343}{8}$

$( - \frac{3}{8} )^{15} \times ( - \frac{3}{8} )^{2} \div ( - \frac{3}{8} )^{4} \times ( - \frac{3}{8} ) ^{8} \div ( - \frac{5}{4} )^{23} \\ ( - \frac{3}{8} )^{17 - 4} \times ( - \frac{3}{8} )^{8} \div ( - \frac{5}{4} )^{23} \\ ( - \frac{3}{8} )^{21} \div ( - \frac{5}{4} )^{23}$