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Which expression is equivalent to first one is question the rest are answer choices

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\bf \sqrt{\cfrac{8}{x^6}}\qquad \begin{cases} 8=2\cdot 2\cdot 2\\ \qquad 2^2\cdot 2\\ x^6=x^(3\cdot 2)\\ \qquad (x^3)^2 \end{cases}\implies \sqrt{\cfrac{2^2\cdot 2}{(x^3)^2}}\implies \cfrac{√(2^2\cdot 2)}{√((x^3)^2)}\implies \cfrac{2√(2)}{x^3}
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