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7th Class Mental Ability Algebraic Expressions Question Bank Algebra

  • question_answer
    Evaluate: \[{{\left[ {{\left\{ {{\left( \frac{\mathbf{1}}{\mathbf{x}} \right)}^{\mathbf{-12}}} \right\}}^{\frac{\mathbf{1}}{\mathbf{4}}}} \right]}^{\mathbf{-}\frac{\mathbf{2}}{\mathbf{3}}}}\]

    A) \[\frac{1}{x}\]            

    B)               \[\frac{1}{{{x}^{2}}}\]

    C) \[\frac{1}{{{x}^{3}}}\]           

    D)                           \[\frac{1}{{{x}^{4}}}\]

    E) None of these

    Correct Answer: B

    Solution :

    Explanation \[{{\left( \frac{1}{x} \right)}^{-\,12x\left( \frac{1}{4} \right)\times \frac{-\,2}{3}}}={{\left( \frac{1}{x} \right)}^{2}}=\frac{1}{{{x}^{2}}}\]


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