Which of the following is equal to x? | vedclass

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Question

(B) We evaluate each option to see which simplifies to $x^1 = x$:$(A)$ $x^{\frac{12}{7}} - x^{\frac{5}{7}}$ cannot be simplified to $x$.$(B)$ $\left(\

Vedclass · Accepted Answer

$\left(\sqrt{x^{3}}\right)^{\frac{2}{3}}$

Vedclass · Answer

(B) We evaluate each option to see which simplifies to $x^1 = x$:$(A)$ $x^{\frac{12}{7}} - x^{\frac{5}{7}}$ cannot be simplified to $x$.$(B)$ $\left(\sqrt{x^{3}}ight)^{\frac{2}{3}} = \left((x^3)^{\frac{1}{2}}ight)^{\frac{2}{3}} = x^{3 	imes \frac{1}{2} 	imes \frac{2}{3}} = x^1 = x$.$(C)$ $\sqrt[12]{\left(x^{4}ight)^{\frac{1}{3}}} = \left(x^{4 	imes \frac{1}{3}}ight)^{\frac{1}{12}} = x^{\frac{4}{3} 	imes \frac{1}{12}} = x^{\frac{1}{9}} 
eq x$.$(D)$ $x^{\frac{12}{7}} 	imes x^{\frac{7}{12}} = x^{\frac{12}{7} + \frac{7}{12}} = x^{\frac{144+49}{84}} = x^{\frac{193}{84}} 
eq x$.Thus,option $(B)$ is the correct answer.

Which of the following is equal to $x$?

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