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SSC Sample Paper SSC (Group-C) Sample Test Paper-2

  • question_answer
    If \[{{\left( \frac{3}{4} \right)}^{3}}{{\left( \frac{4}{3} \right)}^{-7}}={{\left( \frac{3}{4} \right)}^{2x}},\]then\[x\]is:

    A)  -2                  

    B)  2

    C)  5                     

    D)  21

    Correct Answer: C

    Solution :

    \[{{\left( \frac{3}{4} \right)}^{3}}\times {{\left( \frac{4}{3} \right)}^{-7}}={{\left( \frac{3}{4} \right)}^{2x}}\] \[\Rightarrow {{\left( \frac{3}{4} \right)}^{3}}\times {{\left( \frac{3}{4} \right)}^{7}}={{\left( \frac{3}{4} \right)}^{2x}}\] \[\Rightarrow {{\left( \frac{3}{4} \right)}^{10}}={{\left( \frac{3}{4} \right)}^{2x}}\] \[\Rightarrow \,2x=10\Rightarrow x=5\]


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