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SSC Sample Paper SSC CGL - Sample Paper-15

  • question_answer
    If \[{{(125)}^{2/3}}\times {{(625)}^{-1/4}}={{5}^{x}}\] the value of x is

    A) 3                                 

    B) 2         

    C) 0                                 

    D) 1

    Correct Answer: D

    Solution :

    \[{{(125)}^{2/3}}\times {{(625)}^{-1/4}}={{5}^{x}}\] \[\Rightarrow \]   \[{{5}^{3\times \frac{2}{3}}}\times {{5}^{4\times -\frac{1}{4}}}={{5}^{x}}\] \[\Rightarrow \]   \[{{5}^{2}}\times {{5}^{-1}}={{5}^{x}}\] \[\Rightarrow \]   \[{{5}^{1}}={{5}^{x}}\] \[\Rightarrow \] \[x=1\]


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