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

  • question_answer
    If (\[{{(6x)}^{6}}={{6}^{{{2}^{3}}}}\], then find the value of x.

    A)  1                                

    B)  \[\sqrt{6}\]     

    C)  \[\sqrt[3]{6}\]            

    D)         \[\sqrt[6]{6}\]

    Correct Answer: C

    Solution :

    We have, \[{{(6x)}^{6}}={{6}^{{{2}^{3}}}}\] \[\Rightarrow {{x}^{6}}=\frac{{{6}^{8}}}{{{6}^{6}}}\Rightarrow {{x}^{6}}={{6}^{8-6}}={{6}^{2}}\] \[\Rightarrow {{({{x}^{6}})}^{1/6}}={{({{6}^{2}})}^{1/6}}\Rightarrow x={{(6)}^{1/3}}\]


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