10th Class Mathematics Real Numbers Question Bank Real Number

  • question_answer
    The 1000th  root of \[\mathbf{1}{{\mathbf{0}}^{\left( \mathbf{1}{{\mathbf{0}}^{\mathbf{10}}} \right)}}\] is

    A)  \[{{10}^{77}}\]                                 

    B)  \[{{10}^{\left( {{10}^{7}} \right)}}\]  

    C)  \[{{\left( \sqrt[3]{10} \right)}^{{{10}^{5}}}}\]           

    D)  \[{{10}^{{{\left( \sqrt[3]{10} \right)}^{10}}}}\]

    Correct Answer: B

    Solution :

    (b):\[{{\left\{ {{10}^{\left( {{10}^{10}} \right)}} \right\}}^{\frac{1}{1000}}}=\left\{ {{10}^{\left( {{10}^{10\div 1000}} \right)}} \right\}={{10}^{\left( {{10}^{7}} \right)}}\]         


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