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Railways Sample Paper RRB (Group D) Sample Test Paper-5

  • question_answer
    Simplified form of   \[{{\left[ {{\left( ^{5}\sqrt{\frac{-3}{x{{\,}^{5}}}} \right)}^{-\,5/3}} \right]}^{5}}is\]

    A)  \[{{x}^{5}}\]             

    B)  \[{{x}^{-\,5}}\]

    C)  X        

    D)   \[\frac{1}{x}\]

    Correct Answer: C

    Solution :

    [c] \[{{\left[ {{\left( \sqrt[5]{{{x}^{-3\,/5}}} \right)}^{\frac{-5}{3}}} \right]}^{5}}={{\left( {{x}^{-\frac{3}{5}}} \right)}^{\frac{1}{5}\times \frac{-\,5}{3}\times 5}}={{x}^{-\frac{3}{5}\times }}^{\frac{-\,5}{3}}=x\]


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