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    The value of (625)−12.(625)^{-\frac{1}{2}}.(625)−21​.​ is ___________.
    Question

    The value of (625)12.(625)^{-\frac{1}{2}}.​ is ___________.

    A.

    2.5

    B.

    25

    C.

    0.04

    D.

    0.25

    Correct option is C

    Given:

    (625)12(625)^{-\frac{1}{2}}​​

    Concept Used:

    a12=1aa^{-\frac{1}{2}} = \frac{1}{\sqrt{a}}

    Solution:

    (625)12=1625=125(625)^{-\frac{1}{2}} = \frac{1}{\sqrt{625}} = \frac{1}{25} = 0.04

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