vereinfachen (64x^{-12}y^6)^{2/3}

Lösung

vereinfachen

(64 x^{- 12} y^{6})^{\frac{2}{3}}

\frac{16 y ^{4}}{x ^{8}}

Schritte zur Lösung

(64 x^{- 12} y^{6})^{\frac{2}{3}}

Wende Exponentenregel an:

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

(64 x^{- 12} y^{6})^{\frac{2}{3}} = 6 4^{\frac{2}{3}} (x^{- 12})^{\frac{2}{3}} (y^{6})^{\frac{2}{3}}

= 6 4^{\frac{2}{3}} (x^{- 12})^{\frac{2}{3}} (y^{6})^{\frac{2}{3}}

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

= 16 (x^{- 12})^{\frac{2}{3}} (y^{6})^{\frac{2}{3}}

Vereinfache

(x^{- 12})^{\frac{2}{3}} : \frac{1}{x ^{8}}

= 16 \cdot \frac{1}{x ^{8}} (y^{6})^{\frac{2}{3}}

Vereinfache

(y^{6})^{\frac{2}{3}} : y^{4}

= 16 \cdot \frac{1}{x ^{8}} y^{4}

Vereinfache

16 \cdot \frac{1}{x ^{8}} y^{4} : \frac{16 y ^{4}}{x ^{8}}

= \frac{16 y ^{4}}{x ^{8}}

2 x + 4 = 4 x - 4

(2 x + 3)^{2} = 81

s im pl i f y 4 \cdot 12

3 x < 15

s im pl i f y \frac{3}{4} \cdot 4