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    Simplify:(64)12Simplify: (64)^\frac{1}{2}Simplify:(64)21​​
    Question

    Simplify:(64)12Simplify: (64)^\frac{1}{2}

    A.

    12

    B.

    2

    C.

    8

    D.

    14

    Correct option is C

    Problem:

    Simplify:
    641264^{\frac{1}{2}}

    Solution:

    Concept:
    The exponent 12\frac{1}{2}​ represents the square root of the base. Thus:
    6412=6464^{\frac{1}{2}} = \sqrt{64}

    Solution:
    The square root of 64 is 8, because:
    8 ×\times​ 8 = 64

    Final Answer:

    The simplified value is:
    6412=864^{\frac{1}{2}} = 8

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