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

  • question_answer
    What is the result of \[\frac{2\times {{3}^{4}}\times {{2}^{5}}}{9\times {{4}^{2}}}\]?

    A)  \[36\]                    

    B)         \[42\]

    C)  \[46\]                  

    D)         \[48\]

    Correct Answer: A

    Solution :

     \[\frac{2\times {{3}^{4}}\times {{2}^{5}}}{9\times {{4}^{2}}}=\frac{{{2}^{6}}\times {{3}^{4}}}{{{3}^{2}}\times {{2}^{4}}}\]\[={{2}^{6-4}}\times {{3}^{4-2}}={{2}^{2}}{{3}^{2}}\]\[=4\times 9=36\]


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