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SSC Sample Paper SSC CGL - Sample Paper-26

  • question_answer
    \[{{\left( \frac{8}{125} \right)}^{-\frac{4}{3}}}\] simplifies to

    A) \[\frac{625}{16}\]         

    B) \[\frac{625}{8}\]

    C) \[\frac{625}{32}\]                               

    D) \[\frac{16}{625}\]

    Correct Answer: A

    Solution :

    \[{{\left( \frac{8}{125} \right)}^{\frac{4}{3}}}={{\left( \frac{{{2}^{3}}}{{{5}^{3}}} \right)}^{-\frac{4}{3}}}={{\left( \frac{2}{5} \right)}^{-\,4}}={{\left( \frac{16}{625} \right)}^{-1}}=\frac{625}{16}\]        


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