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

12

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2

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8

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14

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Solution

The correct option is C. $8$
Given: $(64)^{\frac{1}{2}}$
$= (8 \times 8)^{\frac{1}{2}}$
$= (8^{2})^{\frac{1}{2}}$
$= 8^{1}$ [Using $(a^{m})^{n} = a^{m \times n}$ ]
$= 8$
Hence, $(64)^{\frac{1}{2}} = 8$

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