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8.5: Раціональні показники
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\(\begin{aligned} \frac{x^{1 / 2}}{x^{1 / 3}} &=x^{\frac{1}{2}-\frac{1}{3}}\qquad\color{Cerulean}{Apply\:the\:quotient\:rule\:\frac{x^{m}}{x^{n}}=x^{m-n}.} \\ &=x^{\frac{3}{6}-\frac{2}{6}} \qquad\colo...\(\begin{aligned} \frac{x^{1 / 2}}{x^{1 / 3}} &=x^{\frac{1}{2}-\frac{1}{3}}\qquad\color{Cerulean}{Apply\:the\:quotient\:rule\:\frac{x^{m}}{x^{n}}=x^{m-n}.} \\ &=x^{\frac{3}{6}-\frac{2}{6}} \qquad\color{Cerulean}{Find\:equivalent\:fractions\:with\:a\:common\:denominator\:and\:then\:subtract.} \\ &=x^{\frac{1}{6}} \end{aligned}\)