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

  • question_answer 10) The value \[\frac{{{\left( -\frac{1}{2} \right)}^{5}}}{\left( -\frac{1}{2} \right)}\div \frac{\left( -\frac{1}{8} \right)}{\left( -\frac{1}{4} \right)}\]is

    A)  1                                

    B)  2

    C)  3                                

    D) \[-1\]

    Correct Answer: D

    Solution :

    \[\frac{{{\left( \frac{-1}{2} \right)}^{5}}}{{{\left( \frac{-1}{2} \right)}^{4}}}={{\left( \frac{-1}{2} \right)}^{5-4}}={{\left( -\frac{1}{2} \right)}^{1}}=\frac{-1}{2};\frac{-\frac{1}{8}}{{}^{-1}/{}_{4}}=\frac{-1}{8}\times \frac{-4}{1}=\frac{1}{2}\]\[\therefore \,\,\,\,\left( \frac{-1}{2} \right)\div \frac{1}{2}=-1\]

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