vereinfachen (((256a^{16})}{(81b^4)})^{\frac{-3)/4}

Lösung

vereinfachen

(\frac{( 256 a ^{16} )}{( 81 b ^{4} )})^{\frac{- 3}{4}}

\frac{27 b ^{3}}{64 a ^{12}}

Schritte zur Lösung

(\frac{256 a ^{16}}{81 b ^{4}})^{\frac{- 3}{4}}

Wende Exponentenregel an:

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

= \frac{( 256 a ^{16} ) ^{\frac{- 3}{4}}}{( 81 b ^{4} ) ^{\frac{- 3}{4}}}

Vereinfache

(256 a^{16})^{\frac{- 3}{4}} : \frac{1}{64 a ^{12}}

= \frac{\frac{1}{64 a ^{12}}}{( 81 b ^{4} ) ^{\frac{- 3}{4}}}

Vereinfache

(81 b^{4})^{\frac{- 3}{4}} : \frac{1}{27 b ^{3}}

= \frac{\frac{1}{64 a ^{12}}}{\frac{1}{27 b ^{3}}}

Vereinfache

\frac{\frac{1}{64 a ^{12}}}{\frac{1}{27 b ^{3}}} : \frac{27 b ^{3}}{64 a ^{12}}

= \frac{27 b ^{3}}{64 a ^{12}}

f a c t or a^{4} + a^{2} \cdot b^{2} + b^{4}

f a c t or x^{4} - 3 x - 2

e x p an d (r + 2)^{3}

f a c t or x^{3} - 1 - 2 x^{2} + 2 x

f a c t or 2 x^{2} y^{2} + 3 x y - 4 y^{3}