vereinfachen (64a^3b^{-6})^{2/3}

Lösung

vereinfachen

(64 a^{3} b^{- 6})^{\frac{2}{3}}

\frac{16 a ^{2}}{b ^{4}}

Schritte zur Lösung

(64 a^{3} b^{- 6})^{\frac{2}{3}}

Wende Exponentenregel an:

(a \cdot b)^{n} = a^{n} b^{n}

(64 a^{3} b^{- 6})^{\frac{2}{3}} = 6 4^{\frac{2}{3}} (a^{3})^{\frac{2}{3}} (b^{- 6})^{\frac{2}{3}}

= 6 4^{\frac{2}{3}} (a^{3})^{\frac{2}{3}} (b^{- 6})^{\frac{2}{3}}

6 4^{\frac{2}{3}} = 16

= 16 (a^{3})^{\frac{2}{3}} (b^{- 6})^{\frac{2}{3}}

Vereinfache

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

= 16 a^{2} (b^{- 6})^{\frac{2}{3}}

Vereinfache

(b^{- 6})^{\frac{2}{3}} : \frac{1}{b ^{4}}

= 16 a^{2} \frac{1}{b ^{4}}

Vereinfache

16 a^{2} \frac{1}{b ^{4}} : \frac{16 a ^{2}}{b ^{4}}

= \frac{16 a ^{2}}{b ^{4}}

f a c t or n^{2} - 14 n + 48

s im pl i f y (\frac{4 a b ^{2}}{5 ab})^{2}

s im pl i f y \frac{- 2}{- 8}

f a c t or t^{2} + 12 t - 13

s = 180 (4 - 2)