9th Class Mathematics Number System and its Operations Question Bank Number Systems

  • question_answer
    If \[\frac{x}{{{x}^{1.5}}}=8{{x}^{-1}}\]and\[x>0\], find\[x\].

    A) \[\frac{\sqrt{2}}{4}\]                 

    B)        \[2\sqrt{2}\]                  

    C) \[4\]                 

    D)        \[125\]              

    Correct Answer: D

    Solution :

    \[{{x}^{-{\scriptstyle{}^{1}/{}_{2}}}}=8{{x}^{-1}}\] Squaring on both sides, we get \[x={{8}^{2}}=64\]


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