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

  • question_answer
    \[{{\left\{ {{\left( \frac{3}{4} \right)}^{-1}}-{{\left( \frac{1}{4} \right)}^{-1}} \right\}}^{-1}}=?\]

    A)  \[\frac{3}{8}\]                                   

    B)  \[\frac{-3}{8}\]                     

    C)  \[\frac{8}{3}\]                       

    D)  \[\frac{-8}{3}\]                                 

    Correct Answer: B

    Solution :

    \[{{\left\{ {{\left( \frac{3}{4} \right)}^{-1}}-{{\left( \frac{1}{4} \right)}^{-1}} \right\}}^{-1}}={{\left\{ \frac{4}{3}-4 \right\}}^{-1}}={{\left\{ \frac{-8}{3} \right\}}^{-1}}=\frac{-3}{8}\]


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