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

  • question_answer
    Simplify \[\frac{a{{b}^{2}}{{c}^{3}}\times {{a}^{4}}{{b}^{5}}{{c}^{-5}}}{{{a}^{-7}}{{b}^{-8}}{{c}^{9}}\times {{a}^{10}}{{b}^{11}}{{c}^{-12}}\times {{a}^{13}}{{b}^{-14}}{{c}^{15}}}\].

    A)  \[{{a}^{11}}{{b}^{18}}{{c}^{-15}}\]

    B)  \[{{a}^{11}}{{b}^{18}}{{c}^{15}}\]

    C)  \[{{a}^{-11}}{{b}^{-18}}{{c}^{15}}\]

    D)  \[{{a}^{-11}}{{b}^{18}}{{c}^{-15}}\]  

    Correct Answer: D

    Solution :

     \[\frac{a{{b}^{2}}{{c}^{3}}\times {{a}^{4}}\times {{b}^{5}}{{c}^{-6}}}{{{a}^{-7}}{{b}^{-8}}{{c}^{9}}\times {{a}^{10}}{{b}^{11}}{{c}^{-12}}\times {{a}^{13}}{{b}^{-14}}{{c}^{15}}}\]\[={{a}^{-11}}\,\,{{b}^{18}}\,\,{{c}^{-15}}\]


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