8th Class Mathematics Exponents and Power Question Bank Exponents and Powers

  • question_answer
    If \[{{\mathbf{2}}^{\mathbf{2}n-}}^{\mathbf{3}}=\mathbf{2048}\], then \[\left( 4n+3{{n}^{2}} \right)=\]________

    A)  175  

    B)  25           

    C)  125                             

    D)  75

    Correct Answer: A

    Solution :

    (a) \[{{2}^{2n-3}}=2048\] \[\Rightarrow {{2}^{2n-3}}={{2}^{11}}\Rightarrow n=7\] \[\Rightarrow 4n+3{{n}^{2}}=4\times 7+3\times {{7}^{2}}\] \[=28+147=175\].


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