6th Class Mathematics Exponents and Power Question Bank Exponent and Powers

  • question_answer 4) Express \[{{\left( -3 \right)}^{4}}\div {{n}^{4}}\] in the form\[{{\left( \frac{a}{b} \right)}^{n}}\].

    A) \[\frac{-24}{{{n}^{3}}}\]                           

    B)  \[{{\left( -\frac{3}{n} \right)}^{4}}\]

    C)  \[\frac{{{\left( -2 \right)}^{4}}}{{{n}^{4}}}\]                

    D) \[\left( \frac{-3}{n} \right)\times \left( \frac{-3}{n} \right)\]

    Correct Answer: B

    Solution :

    \[{{a}^{m}}\div {{b}^{m}}={{\left( \frac{a}{b} \right)}^{m}}\Rightarrow \,\,{{\left( -3 \right)}^{4}}\div {{n}^{4}}\] \[={{\left( \frac{-3}{n} \right)}^{4}}\]

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