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\frac{x^{\frac{2}{3}}}{\left(x^{\frac{1}{6}}\right)^{4}}
To raise a power to another power, multiply the exponents. Multiply 2 and \frac{1}{3} to get \frac{2}{3}.
\frac{x^{\frac{2}{3}}}{x^{\frac{2}{3}}}
To raise a power to another power, multiply the exponents. Multiply \frac{1}{6} and 4 to get \frac{2}{3}.
1
Divide x^{\frac{2}{3}} by x^{\frac{2}{3}} to get 1.