Question 177351
Any radical of the form *[Tex \LARGE \sqrt[n]{x^m}] can be rewritten into the exponential form *[Tex \LARGE \left(x^m\right)^{\frac{1}{n}}]



In the case of *[Tex \LARGE \sqrt[7]{21}], we can rewrite it into *[Tex \LARGE \sqrt[7]{21^1}] and take note that {{{x=21}}}, {{{m=1}}} and {{{n=7}}}



So we can convert to exponential notation by plugging these values into *[Tex \LARGE \left(x^m\right)^{\frac{1}{n}}] to get:



*[Tex \LARGE \left(21^1\right)^{\frac{1}{7}}]



and simplify to get



*[Tex \LARGE 21^{\frac{1}{7}}]



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Answer:



So *[Tex \LARGE \sqrt[7]{21}=21^{\frac{1}{7}}]