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Railways Sample Paper RRBs Assistant Loco Pilot and Technician CBT STAGE-I Sample Paper-8

  • question_answer
    The simplified form of \[({{16}^{3/2}}+{{16}^{-3/2}})\]

    A)  0        

    B)  \[\frac{4097}{64}\]

    C)  1        

    D)  \[\frac{16}{4097}\]

    Correct Answer: B

    Solution :

    \[{{(16)}^{\frac{3}{2}}}+{{16}^{-\frac{3}{2}}}={{4}^{3}}+\frac{1}{{{4}^{3}}}=64+\frac{1}{64}\] \[=\frac{4096+1}{64}=\frac{4097}{64}\]


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