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

  • question_answer
    Express \[{{(-2)}^{3}}\div {{m}^{3}}\] in the form \[{{\left( \frac{a}{b} \right)}^{m}}\].

    A)  \[\frac{-{{2}^{3}}}{{{m}^{3}}}\]                

    B)         \[{{\left( -\frac{2}{m} \right)}^{3}}\]  

    C)  \[\frac{{{(-2)}^{3}}}{{{m}^{3}}}\]             

    D)         \[-\left( \frac{2}{m} \right)\left( \frac{-2}{m} \right)\]

    Correct Answer: B

    Solution :

     \[{{a}^{m}}+{{b}^{m}}={{\left( \frac{a}{b} \right)}^{m}}\to {{(-2)}^{3}}+{{m}^{3}}\]\[={{\left( \frac{-2}{m} \right)}^{3}}\]


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