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

  • question_answer
    The value of \[{{\left[ {{\left( \sqrt[n]{{{x}^{2}}} \right)}^{n/2}} \right]}^{2}}\]

    A)  0                                

    B)  \[{{x}^{2}}\]   

    C)  \[x\]                            

    D)  \[1/x\]

    Correct Answer: B

    Solution :

    (b) \[{{\left[ {{\left\{ {{\left( {{x}^{2}} \right)}^{\frac{1}{n}}} \right\}}^{\frac{n}{2}}} \right]}^{2}}\] \[={{x}^{2\times \frac{1}{n}\times \frac{n}{2}\times 2}}={{x}^{2}}.\]


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