6th Class Mathematics Exponents and Power Question Bank Exponent and Powers

  • question_answer Express \[{{6}^{2}}\times {{7}^{-4}}\times ({{8}^{-2}})\times {{6}^{3}}\times {{({{7}^{2}})}^{2}}\times {{8}^{4}}\] in the simplest exponential form.

    A) \[{{6}^{5}}{{7}^{2}}\]                           

    B) \[{{6}^{5}}\]

    C) \[{{6}^{-5}}{{7}^{2}}\]                          

    D) \[{{6}^{-5}}{{7}^{-2}}\]

    Correct Answer: B

    Solution :

    \[{{6}^{2}}\times \frac{1}{\cancel{{{7}^{4}}}}\times \frac{1}{\cancel{{{8}^{4}}}}\times {{6}^{3}}\times \cancel{{{7}^{4}}}\times \cancel{{{8}^{4}}}\] \[={{6}^{2}}\times {{6}^{3}}={{6}^{2+3}}={{6}^{5}}\]

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