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

  • question_answer
    Solve \[{{({{9}^{5}})}^{x}}={{({{9}^{4}})}^{x}}\div {{9}^{2}}\].

    A)  \[x=4\]               

    B)         \[x=-2\]  

    C)  \[x=-3\]              

    D)         \[x=2\]

    Correct Answer: B

    Solution :

     \[{{({{9}^{5}})}^{x}}={{({{9}^{4}})}^{x}}+{{9}^{2}}\]\[\Rightarrow \]         \[{{9}^{5x}}={{9}^{4x-2}}\]\[\Rightarrow \]                \[5x=4x-2\] \[\Rightarrow \] \[x=-2\]


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