7th Class Mathematics Exponents and Power Question Bank Exponents and Powers

  • question_answer
    Find the numerical value of \[{{(4096)}^{\frac{-3}{4}}}\].

    A)  \[1024\]             

    B)         \[512\]

    C)  \[256\]                

    D)         \[\frac{1}{512}\]  

    Correct Answer: D

    Solution :

     \[{{(4096)}^{\frac{-3}{4}}}={{({{2}^{12}})}^{\frac{-3}{4}}}={{2}^{-9}}=\frac{1}{{{2}^{9}}}=\frac{1}{512}\]


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