vereinfachen (64x^{15}y^{-3})^{1/3}

Lösung

vereinfachen

(64 x^{15} y^{- 3})^{\frac{1}{3}}

\frac{4 x ^{5}}{y}

Schritte zur Lösung

(64 x^{15} y^{- 3})^{\frac{1}{3}}

Wende Exponentenregel an:

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

(64 x^{15} y^{- 3})^{\frac{1}{3}} = 6 4^{\frac{1}{3}} (x^{15})^{\frac{1}{3}} (y^{- 3})^{\frac{1}{3}}

= 6 4^{\frac{1}{3}} (x^{15})^{\frac{1}{3}} (y^{- 3})^{\frac{1}{3}}

6 4^{\frac{1}{3}} = 4

= 4 (x^{15})^{\frac{1}{3}} (y^{- 3})^{\frac{1}{3}}

Vereinfache

(x^{15})^{\frac{1}{3}} : x^{5}

= 4 x^{5} (y^{- 3})^{\frac{1}{3}}

Vereinfache

(y^{- 3})^{\frac{1}{3}} : \frac{1}{y}

= 4 x^{5} \frac{1}{y}

Vereinfache

4 x^{5} \frac{1}{y} : \frac{4 x ^{5}}{y}

= \frac{4 x ^{5}}{y}

\frac{x}{2 - x} > 2

s im pl i f y - \frac{3}{8} + \frac{1}{2}

f a c t or 49 x^{2} - 4

z^{2} + 3 z - 4 = 0

2 x + 2 = x^{2} + x - 4