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

  • question_answer
    \[\frac{{{\left( {{\mathbf{a}}^{\mathbf{x+y}}} \right)}^{\mathbf{2}}}{{\left( {{\mathbf{a}}^{\mathbf{y+z}}} \right)}^{\mathbf{2}}}{{\left( {{\mathbf{a}}^{\mathbf{z+x+}}} \right)}^{\mathbf{2}}}}{\left( {{\mathbf{a}}^{\mathbf{4x}}}\mathbf{.}{{\mathbf{a}}^{\mathbf{4y}}}\mathbf{.}{{\mathbf{a}}^{\mathbf{4z}}} \right)}\mathbf{=?}\]

    A)  2a                               

    B)  \[x+y+z\]        

    C)  1        

    D)  0

    Correct Answer: C

    Solution :

    (c): \[\frac{{{\left( {{a}^{x+y}} \right)}^{2}}{{\left( {{a}^{y+z}} \right)}^{2}}{{\left( {{a}^{z+x}} \right)}^{2}}}{\left( {{a}^{4x}}.{{a}^{4y}}.{{a}^{4z}} \right)}\Rightarrow \frac{{{a}^{2x+2y}}.{{a}^{2y+2z}}.{{a}^{2z+2x}}}{{{a}^{4x}}.{{a}^{4y}}.{{a}^{4z}}}\] \[\Rightarrow \frac{{{a}^{4x+4y+4z}}}{{{a}^{4x+4y+4z}}}=1\]                   


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