10th Class Mathematics Real Numbers Question Bank Real Numbers

  • question_answer The 100th root of \[{{10}^{({{10}^{10}})}}\] is ___.

    A) \[{{10}^{{{8}^{10}}}}\]                         

    B) \[{{10}^{{{10}^{8}}}}\] 

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

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

    Correct Answer: B

    Solution :

    100th root of \[{{10}^{{{10}^{19}}}}={{({{10}^{{{10}^{19}}}})}^{\frac{1}{100}}}\] \[={{10}^{{{10}^{19}}}}{{\times }^{{{10}^{-2}}}}={{10}^{{{10}^{10-2}}}}\]


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