簡約 x^{-1/3}(x^{7/6}-x^{3/4})

解

簡約

x^{- \frac{1}{3}} (x^{\frac{7}{6}} - x^{\frac{3}{4}})

\frac{x ^{\frac{7}{6}} - x ^{\frac{3}{4}}}{x ^{\frac{1}{3}}}

解答ステップ

x^{- \frac{1}{3}} (x^{\frac{7}{6}} - x^{\frac{3}{4}})

指数の規則を適用する:

a^{- b} = \frac{1}{a ^{b}}

x^{- \frac{1}{3}} = \frac{1}{x ^{\frac{1}{3}}}

= \frac{1}{x ^{\frac{1}{3}}} (x^{\frac{7}{6}} - x^{\frac{3}{4}})

分数の規則を適用する:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot ( x ^{\frac{7}{6}} - x ^{\frac{3}{4}} )}{x ^{\frac{1}{3}}}

規則を適用する:

1 \cdot a = a

1 \cdot (x^{\frac{7}{6}} - x^{\frac{3}{4}}) = (x^{\frac{7}{6}} - x^{\frac{3}{4}})

= \frac{x ^{\frac{7}{6}} - x ^{\frac{3}{4}}}{x ^{\frac{1}{3}}}