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    Find the value of (14)−2+(19)−2+(17)−2\left(\frac{1}{4}\right)^{-2} + \left(\frac{1}{9}\right)^{-2} + \left(\frac{1}{7}\right)^{-2}(41​)−2+(91​)−
    Question

    Find the value of (14)2+(19)2+(17)2\left(\frac{1}{4}\right)^{-2} + \left(\frac{1}{9}\right)^{-2} + \left(\frac{1}{7}\right)^{-2}​​

    A.

    142

    B.

    146

    C.

    147

    D.

    141

    Correct option is B

    Given:

    (14)2+(19)2+(17)2\left(\frac{1}{4}\right)^{-2} + \left(\frac{1}{9}\right)^{-2} + \left(\frac{1}{7}\right)^{-2} 

    Solution: 

    (14)2+(19)2+(17)2 =(4)2+(9)2+(7)2 =16+81+49 =146\left(\frac{1}{4}\right)^{-2} + \left(\frac{1}{9}\right)^{-2} + \left(\frac{1}{7}\right)^{-2} \\ \ \\ = \left({4}\right)^{2} + \left({9}\right)^{2} + \left({7}\right)^{2} \\ \ \\ = 16 + 81 + 49 \\ \ \\ = 146​​

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