vereinfachen x^{1/2}(x-3)^{(-1)/4}

Lösung

vereinfachen

x^{\frac{1}{2}} (x - 3)^{\frac{- 1}{4}}

\frac{x ^{\frac{1}{2}}}{( x - 3 ) ^{\frac{1}{4}}}

Schritte zur Lösung

x^{\frac{1}{2}} (x - 3)^{\frac{- 1}{4}}

Vereinfache

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

= x^{\frac{1}{2}} \frac{1}{( x - 3 ) ^{\frac{1}{4}}}

Wende Bruchregel an:

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

= \frac{x ^{\frac{1}{2}} \cdot 1}{( x - 3 ) ^{\frac{1}{4}}}

Apply rule:

a \cdot 1 = a

x^{\frac{1}{2}} \cdot 1 = x^{\frac{1}{2}}

= \frac{x ^{\frac{1}{2}}}{( x - 3 ) ^{\frac{1}{4}}}

s im pl i f y \frac{( - 6 ) ^{2} x c ^{4}}{( - c ) ^{5}}

e x p an d d (4 x^{4} + 6 a^{2} + 7 x + 5)

s im pl i f y \frac{a ^{2} + 1 + 1}{( a ^{2} )}

s im pl i f y 12 a^{2} b^{34} a^{3} b^{3} - 8 a^{2} b^{3}

e x p an d x (x - 3) (x + 4)