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

  • question_answer Express \[\frac{729\times 64}{270}\] as a product of prime factors in a exponential form.

    A)  \[\frac{{{2}^{6}}\times {{3}^{4}}}{27}\]                            

    B)  \[\frac{{{2}^{5}}\times {{3}^{3}}}{5}\]

    C) \[\frac{{{2}^{5}}\times {{3}^{3}}}{{{5}^{3}}}\]                     

    D)  \[\frac{{{2}^{6}}\times {{3}^{2}}}{{{5}^{2}}}\]

    Correct Answer: B

    Solution :

    \[\frac{729\times 64}{270}=\frac{{{3}^{6}}\times {{2}^{6}}}{{{3}^{3}}\times 2\times 5}=\frac{{{3}^{3}}\times {{2}^{5}}}{5}\]

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