When we divide two numbers with the same base, we subtract the exponents:
\( x^{\frac{1}{2}} \div x^{\frac{1}{3}} = x^{\frac{1}{2} - \frac{1}{3}} = x^{\frac{3}{6} - \frac{2}{6}} = x^{\frac{1}{6}} \)
Similarly,
\( x^{\frac{1}{4}} \div x^{\frac{1}{3}} =
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