The value of ${(64^{2 / 3})}^{1 / 2}$ is -

5

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4

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6

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None of these

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Solution

The correct option is B $4$
Given $(64^{\frac{2}{3}})^{\frac{1}{2}}$

$= (64)^{\frac{2}{3} \times \frac{1}{2}}$
$= (64)^{\frac{1}{3}}$
$= (4^{3})^{\frac{1}{3}}$
$= 4^{\frac{3}{3}}$
$= 4$

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