Question 607207
<img src="http://latex.codecogs.com/gif.latex?\LARGE x^{\frac{1}{7}}y^{\frac{1}{2}}z^{\frac{1}{4}}" title="x" />


<img src="http://latex.codecogs.com/gif.latex?\LARGE x^{\frac{4}{28}}y^{\frac{14}{28}}z^{\frac{7}{28}}" title="x" />


<img src="http://latex.codecogs.com/gif.latex?\LARGE \left(x^{4}y^{14}z^{7}\right)^{\frac{1}{28}}" title="x" />


<img src="http://latex.codecogs.com/gif.latex?\LARGE \sqrt[28]{x^{4}y^{14}z^{7}}" title="x" />


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<font color="red">Answer: </font> 


So <img src="http://latex.codecogs.com/gif.latex?\LARGE x^{\frac{1}{7}}y^{\frac{1}{2}}z^{\frac{1}{4}}" title="x" /> as one radical expression is <img src="http://latex.codecogs.com/gif.latex?\LARGE \sqrt[28]{x^{4}y^{14}z^{7}}" title="x" />


This means that


<img src="http://latex.codecogs.com/gif.latex?\LARGE x^{\frac{1}{7}}y^{\frac{1}{2}}z^{\frac{1}{4}} = \sqrt[28]{x^{4}y^{14}z^{7}}" title="x" />

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