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9th Class Mathematics Number System and its Operations Question Bank Number System

  • question_answer
    If \[{{\left( 3 \right)}^{0.\overline{4}+0.\overline{5}}}=x,{{\left( 27 \right)}^{0.\overline{21}+0.\overline{12}}}\] then \[x\times y\] is

    A)  \[{{3}^{4}}\]                         

    B)  \[{{3}^{3}}\]             

    C)  32          

    D)  \[{{3}^{5}}\]

    Correct Answer: C

    Solution :

    (c): \[x={{\left( 3 \right)}^{\frac{4}{9}+\frac{5}{9}}}={{\left( 3 \right)}^{\frac{9}{9}}}=3\] \[\therefore x.y=9\]                    


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