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Railways Quantitative Aptitude Power, Surds And Indices Sample Paper Surds Indices Sample Test Paper-4

  • question_answer
    Evaluate \[\sqrt[3]{{{\left( \frac{1}{64} \right)}^{2}}}\]

    A)   4                   

    B)  16        

    C)  \[\frac{1}{4}\] 

    D)  \[\frac{1}{16}\]

    Correct Answer: D

    Solution :

    [d] \[\sqrt[3]{{{\left( \frac{1}{64} \right)}^{2}}}={{\left[ {{\left( \frac{1}{64} \right)}^{2}} \right]}^{\frac{1}{3}}}={{\left( \frac{1}{64} \right)}^{\frac{2}{3}}}\] \[{{\left( \frac{1}{4} \right)}^{3\times \frac{2}{3}}}={{\left( \frac{1}{4} \right)}^{2}}=\frac{1}{16}\]


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