Which choice is equivalent to the quotient shown here when x > 0?
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To solve this problem you must apply the proccedure shown below:
1. You can rewrite the expression given in the figure attached, as following:
[tex] (\sqrt{\frac{42}{6}})(\frac{x^{\frac{5}{2}}}{x^{\frac{3}{2}}})
[/tex]
2. Simplify and by applying the exponents properties, you can substract the exponents of the variables [tex] x [/tex]:
[tex] x\sqrt{7} [/tex]
Therefore the answer is the option D: D. [tex] x\sqrt{7} [/tex]