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8th Class Mathematics Exponents and Power Question Bank Exponents and Powers

  • question_answer
    Which of the following has the same value of \[{{\mathbf{3}}^{6}}\times {{\left( {{\mathbf{3}}^{-\mathbf{2}}} \right)}^{2}}\times {{\left( {{\mathbf{2}}^{\mathbf{3}}} \right)}^{2}}\times {{\left( {{\mathbf{2}}^{-\mathbf{2}}} \right)}^{\mathbf{3}}}\]

    A)  \[{{9}^{{}^\circ }}\]                         

    B)  9     

    C)  \[{{9}^{2}}\]                                     

    D)  \[{{9}^{3}}\]

    Correct Answer: B

    Solution :

    (b) \[{{3}^{6}}\times {{\left( {{3}^{-2}} \right)}^{2}}\times {{\left( {{2}^{3}} \right)}^{2}}\times {{\left( {{2}^{-2}} \right)}^{3}}\] \[={{3}^{6}}\times {{3}^{-4}}\times {{2}^{6}}\times {{2}^{-6}}\,\,\,\,={{3}^{6-4}}\times {{2}^{6-6}}\] \[={{3}^{2}}\times 1=9\].


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