• # question_answer The value of${{\left( \frac{8}{125} \right)}^{\frac{-4}{3}}}$ A)  $\frac{625}{16}$                           B) $\frac{125}{16}$C) $\frac{16}{25}$                                              D) $\frac{-625}{16}$

${{\left( \frac{8}{125} \right)}^{{}^{-4}/{}_{3}}}={{\left( \frac{{{2}^{3}}}{{{5}^{3}}} \right)}^{{}^{-4}/{}_{3}}}={{\left[ \frac{2}{5} \right]}^{\left( {}^{-4}/{}_{3} \right)\times 3}}$ $={{\left( \frac{2}{5} \right)}^{-4}}={{\left( \frac{5}{2} \right)}^{4}}=\frac{{{5}^{4}}}{{{2}^{4}}}=\frac{625}{16}$