vereinfachen x^{-1/3}(x^{7/6}-x^{3/4})

Lösung

vereinfachen

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}}}

Schritte zur Lösung

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

Wende Exponentenregel an:

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}})

Wende Bruchregel an:

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}}}

Apply rule:

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}}}

s im pl i f y \frac{1}{7} \cdot \frac{2}{9}

f a c t or 2 x^{2} + 9 x - 18

s im pl i f y - 1 - 8 i - 4 - i

5 x^{2} - 9 x + 2 = 0

f a c t or 18 x y^{2} + 12 x y + 2 x