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Advanced Math / Equivalent expressions Difficulty: Easy

Which expression is equivalent to ${(x)}^{\frac{1}{14}}$ , where $x greater than 0$ ?

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Explanation

Choice B is correct. An expression in the form $x Superscript StartFraction 1 Over k EndFraction$ , where $x greater than 0$ and $k greater than 0$ , is equivalent to $\sqrt[k]{x}$ . It follows that $x^{\frac{1}{14}}$ , where $x greater than 0$ , is equivalent to $RootIndex 14 StartRoot x EndRoot$ .

Choice A is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.