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

  • question_answer
    The value \[\left( {{9}^{\frac{4}{3}}}\div {{81}^{\frac{2}{3}}} \right)\times {{3}^{\frac{3}{2}}}\]is.......

    A)  36                               

    B)  32   

    C)  \[{{3}^{\frac{27}{6}}}\]                    

    D)  None of these

    Correct Answer: B

    Solution :

    (b) \[{{9}^{{}^{4}/{}_{3}}}\div {{\left( 81 \right)}^{^{{}^{2}/{}_{3}}}}={{9}^{^{{}^{4}/{}_{3}}}}\div {{\left( {{9}^{2}} \right)}^{{}^{2}/{}_{3}}}={{9}^{{}^{4}/{}_{3}}}\div {{9}^{{}^{4}/{}_{3}}}=1\] \[\therefore \]\[1\times {{3}^{{}^{3}/{}_{2}}}={{3}^{{}^{3}/{}_{2}}}\]      


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