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10th Class Mathematics Real Numbers Question Bank Real Number

  • question_answer
    The difference between \[\mathbf{1}{{\mathbf{0}}^{{{\mathbf{(10)}}^{\mathbf{2}}}}}\] and \[{{\left( \mathbf{1}{{\mathbf{0}}^{\mathbf{10}}} \right)}^{\mathbf{2}}}\] is the order of

    A)  0                                

    B)  \[{{10}^{80}}\]          

    C) \[{{10}^{20}}\]                      

    D)  None of these

    Correct Answer: D

    Solution :

    (d): \[{{\left( {{a}^{m}} \right)}^{n}}={{a}^{mn}}\therefore {{(10)}^{2}}=100\Rightarrow {{10}^{{{(10)}^{2}}}}={{10}^{100}}\] \[{{\left( {{10}^{10}} \right)}^{2}}={{10}^{10\times 2}}={{10}^{20}}\] \[\therefore \] Difference \[1-{{10}^{20}}={{10}^{20}}\left( {{10}^{80}}-1 \right)\]: so it is of the order of \[{{10}^{100}}\]


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