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

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

    A) \[x=4\]                         

    B) \[x=-2\]

    C) \[x=-3\]           

    D) \[x=2\]

    Correct Answer: B

    Solution :

    (b) \[{{({{4}^{5}})}^{x}}={{({{4}^{4}})}^{x}}\div {{4}^{2}}\] \[\Rightarrow \]\[{{4}^{5x}}={{4}^{4x-2}}\] \[\Rightarrow \]\[5x=4x-2\] \[\Rightarrow \]\[x=-2\]


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