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7th Class Mathematics Integers Question Bank Number System

  • question_answer
    \[\frac{{{4}^{-3}}\times {{a}^{-5}}\times {{b}^{-4}}}{{{4}^{-5}}\times {{a}^{-8}}\times {{b}^{3}}}\]=

    A)  \[16\frac{{{a}^{3}}}{{{b}^{7}}}\]  

    B)  \[8\frac{{{a}^{2}}}{{{b}^{-7}}}\]          

    C)  \[2\frac{{{a}^{-13}}}{{{b}^{-7}}}\]                         

    D)  \[\frac{{{a}^{8}}}{{{b}^{-1}}}\]

    Correct Answer: A

    Solution :

       (a): \[\frac{{{4}^{-3}}\times {{a}^{-5}}\times {{b}^{-4}}}{{{4}^{-5}}\times {{a}^{-8}}\times {{b}^{3}}}\] \[={{4}^{2}}\times {{a}^{3}}\times {{b}^{-7}}=\frac{16{{a}^{3}}}{{{b}^{7}}}\].


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