7th Class Mental Ability Algebraic Expressions Question Bank Algebra

  • question_answer
    Evaluate \[{{\left[ {{\left( \frac{\mathbf{36}}{\mathbf{25}} \right)}^{\frac{\mathbf{3}}{\mathbf{2}}}} \right]}^{\frac{\mathbf{5}}{\mathbf{3}}}}\]

    A) \[\frac{7776}{3125}\]

    B)   1

    C) \[\frac{75}{31}\]           

    D)                           2

    E) None of these

    Correct Answer: A

    Solution :

    Explanation \[{{\left( \frac{36}{25} \right)}^{\frac{{}}{2}\,\times \,\frac{5}{{}}}}={{\left( \frac{36}{25} \right)}^{\frac{5}{2}}}={{\left( \frac{6}{2} \right)}^{\times \frac{5}{{}}}}={{\left( \frac{6}{5} \right)}^{5}}=\frac{7776}{3125}\]


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