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    Find the value of (13)−4+(16)−4+(18)−4.\left(\frac{1}{3}\right)^{-4} + \left(\frac{1}{6}\right)^{-4} + \left(\frac{1}{8}\right)^{-4}.(31​)−4+(61​
    Question

    Find the value of (13)4+(16)4+(18)4.\left(\frac{1}{3}\right)^{-4} + \left(\frac{1}{6}\right)^{-4} + \left(\frac{1}{8}\right)^{-4}.​​

    A.

    5772

    B.

    4769

    C.

    5473

    D.

    4776

    Correct option is C

    Given:
    (13)4+(16)4+(18)4.\left(\frac{1}{3}\right)^{-4} + \left(\frac{1}{6}\right)^{-4} + \left(\frac{1}{8}\right)^{-4}.
    Solution:
    (13)4+(16)4+(18)4=34+64+84=81+1296+4096=5473\left(\frac{1}{3}\right)^{-4} + \left(\frac{1}{6}\right)^{-4} + \left(\frac{1}{8}\right)^{-4} \\= 3^4 + 6^4 + 8^4\\= 81 + 1296 + 4096\\= 5473​​

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