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

  • question_answer
    If \[{{3}^{x}}=300,\] then the value of \[{{3}^{x-2}}\] is

    A) \[\frac{200}{11}\]                              

    B) \[\frac{1}{963}\]          

    C) \[\frac{100}{3}\]                    

    D) \[\frac{300}{2}\]

    Correct Answer: C

    Solution :

    \[{{3}^{x}}=300\Rightarrow \frac{{{3}^{x}}}{9}=\frac{300}{9}\Rightarrow {{3}^{x-2}}=\frac{300}{9}\] \[\Rightarrow \,\,\,\,\,\,\,\,{{3}^{x-2}}=\frac{100}{3}\]


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