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8th Class Mathematics Exponents and Power Question Bank Exponents and Powers

  • question_answer
    If xyz = 0, then find the value of \[{{({{a}^{x}})}^{zy}}+{{({{a}^{y}})}^{zx}}+{{({{a}^{z}})}^{xy}}\]

    A)  3     

    B)  2            

    C)  1                                

    D)  0

    Correct Answer: A

    Solution :

    (a) \[{{\left( {{a}^{x}} \right)}^{zy}}+{{\left( {{a}^{y}} \right)}^{zx}}+{{\left( {{a}^{z}} \right)}^{xy}}\] \[={{a}^{xyz}}+{{a}^{xyz}}+{{a}^{xyz}}\] \[=3\times {{a}^{xyz}}\] \[xyz=0\Rightarrow 3\times {{a}^{xyz}}=3\times {{a}^{{}^\circ }}=3\]           


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