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SSC Sample Paper SSC CGL - Sample Paper-5

  • question_answer
    The value of \[{{(256)}^{0.16}}\times {{(256)}^{0.09}}\] is

    A)  16                               

    B)  64

    C)  256.25            

    D)  4

    Correct Answer: D

    Solution :

    \[{{(256)}^{0.16}}\times {{(256)}^{0.09}}\] \[={{(256)}^{\frac{16}{100}}}\times {{(256)}^{\frac{9}{100}}}\] \[={{(256)}^{\frac{16}{100}+\frac{9}{100}}}={{(256)}^{\frac{25}{100}}}\] \[={{(4)}^{4\times \frac{1}{4}}}=4\]


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