vereinfachen ((a^{2/3})/(b^{4/3)})^{3/4}

Lösung

vereinfachen

(\frac{a ^{\frac{2}{3}}}{b ^{\frac{4}{3}}})^{\frac{3}{4}}

\frac{a ^{\frac{1}{2}}}{b}

Schritte zur Lösung

(\frac{a ^{\frac{2}{3}}}{b ^{\frac{4}{3}}})^{\frac{3}{4}}

Wende Exponentenregel an:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( a ^{\frac{2}{3}} ) ^{\frac{3}{4}}}{( b ^{\frac{4}{3}} ) ^{\frac{3}{4}}}

Vereinfache

(a^{\frac{2}{3}})^{\frac{3}{4}} : a^{\frac{1}{2}}

= \frac{a ^{\frac{1}{2}}}{( b ^{\frac{4}{3}} ) ^{\frac{3}{4}}}

Vereinfache

(b^{\frac{4}{3}})^{\frac{3}{4}} : b

= \frac{a ^{\frac{1}{2}}}{b}

\frac{x}{3} + 3 x - \frac{x - 2}{4} = \frac{1}{4} + x

\frac{x - 1}{- 3} + \frac{1}{5} \leq \frac{x}{2} - 3

\frac{2 x + 5}{x ^{2} + 2 x - 35} \geq 0

f a c t or \frac{\frac{8 x}{x ^{2} - 1}}{\frac{10 x}{x + 1}}

f a c t or - 16 t^{2} + 36 t