Which of the following is equal to x? | vedclass

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Question

(a) $x^{\frac{12}{7}} 	imes x^{\frac{5}{7}} 
eq x$

(b) $\sqrt[12]{\left(x^{4}ight)^{\frac{1}{3}}}=\sqrt[12]{x^{4 x \frac{1}{3}}}=\left(x^{\frac

Vedclass · Accepted Answer

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

Vedclass · Answer

(a) $x^{\frac{12}{7}} 	imes x^{\frac{5}{7}} 
eq x$

(b) $\sqrt[12]{\left(x^{4}ight)^{\frac{1}{3}}}=\sqrt[12]{x^{4 x \frac{1}{3}}}=\left(x^{\frac{4}{3}}ight)^{\frac{1}{12}}=x^{\frac{4}{3} 	imes \frac{1}{12}}=x^{\frac{1}{9}} 
eq x$

(c) $\left(\left(x^{3}ight)^{\frac{1}{2}}ight)^{\frac{2}{3}}=(x)^{\frac{3}{2} 	imes \frac{2}{3}}=x^{1}=x$

(d) $x^{\frac{12}{7}} 	imes x^{\frac{7}{12}}=x^{\frac{12}{7}+\frac{7}{12}}=x^{\frac{193}{84}} 
eq x$

Hence, (B) is the correct answer.

Which of the following is equal to $x$?

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