SOLUTION: use rational exponents to write x^1/7 * y^1/2 * z^1/4 as an radical expression. Thanks!!!!!

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Question 607207: use rational exponents to write x^1/7 * y^1/2 * z^1/4 as an radical expression. Thanks!!!!!
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
$x^{\frac{1}{7}}y^{\frac{1}{2}}z^{\frac{1}{4}}$

$x^{\frac{4}{28}}y^{\frac{14}{28}}z^{\frac{7}{28}}$

$\left(x^{4}y^{14}z^{7}\right)^{\frac{1}{28}}$

$\sqrt[28]{x^{4}y^{14}z^{7}}$

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Answer:

So $x^{\frac{1}{7}}y^{\frac{1}{2}}z^{\frac{1}{4}}$ as one radical expression is $\sqrt[28]{x^{4}y^{14}z^{7}}$

This means that

$x^{\frac{1}{7}}y^{\frac{1}{2}}z^{\frac{1}{4}} = \sqrt[28]{x^{4}y^{14}z^{7}}$
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