Railways Sample Paper RRBs Assistant Loco Pilot and Technician CBT STAGE-I Sample Paper-12

  • question_answer
    What would be the value of n, if\[\sqrt{{{4}^{n}}}=1024?\]

    A)  5                    

    B)  8

    C)  12       

    D)  10

    Correct Answer: D

    Solution :

    \[\sqrt{{{4}^{x}}}=1024\Rightarrow 4x={{(1024)}^{2}}\] \[={{(4\times 4\times 4\times 4\times 4)}^{2}}={{({{4}^{5}})}^{2}}={{4}^{10}}\] \[\therefore \]      \[x=10\]

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