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7th Class Mathematics Exponents and Power Question Bank Exponents and Power

  • question_answer
    Express \[{{6}^{2}}\times \] \[{{7}^{-4}}\times \]\[{{({{8}^{-2}})}^{2}}\times \]\[{{6}^{3}}\times \]\[{{({{7}^{2}})}^{2}}{{8}^{4}}\] 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 :

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


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