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SSC Sample Paper SSC CHSL (10+2) Sample Test Paper-6

  • question_answer
    When simplified \[{{(256)}^{-}}^{\left( 4\frac{-3}{2} \right)}\] is

    A)  8                    

    B)  \[\frac{1}{8}\]

    C)  2        

    D)         \[\frac{1}{2}\]

    Correct Answer: D

    Solution :

     \[{{(256)}^{-\left( {{4}^{\frac{-3}{2}}} \right)}}={{(256)}^{-\left( \frac{1}{{{4}^{3/2}}} \right)}}\] \[={{(256)}^{-}}^{\frac{1}{8}}=\frac{1}{{{(256)}^{\frac{1}{8}}}}=\frac{1}{{{({{2}^{8}})}^{\frac{1}{8}}}}=\frac{1}{2}\]


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