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    Question

    Find the value of the expression {(4096) n

    /4  × 8 3n + 1 }/{(512) n  × 8 n – 1 }.
    A -16 Correct Answer Incorrect Answer
    B 64 Correct Answer Incorrect Answer
    C 512 Correct Answer Incorrect Answer
    D None of the above Correct Answer Incorrect Answer

    Solution

    Given, {(4096) n/4  × 8 3n + 1 }/{(512) n  × 8 n – 1 }

    = {(8 4 ) n/4  × 8 3n + 1 }/{(8 3 ) n  × 8 n – 1 }

    = (8 4n + 1) /(8 4n – 1 ) (Since, a n  × a m  = a m + n )

    = 8 4n + 1 – 4n + 1  (Since, a m /a n  = a m – n )

    = 8 2  = 64

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