vereinfachen (64x^9y^{-18})^{1/3}

Lösung

vereinfachen

(64 x^{9} y^{- 18})^{\frac{1}{3}}

\frac{4 x ^{3}}{y ^{6}}

Schritte zur Lösung

(64 x^{9} y^{- 18})^{\frac{1}{3}}

Wende Exponentenregel an:

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

(64 x^{9} y^{- 18})^{\frac{1}{3}} = 6 4^{\frac{1}{3}} (x^{9})^{\frac{1}{3}} (y^{- 18})^{\frac{1}{3}}

= 6 4^{\frac{1}{3}} (x^{9})^{\frac{1}{3}} (y^{- 18})^{\frac{1}{3}}

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

= 4 (x^{9})^{\frac{1}{3}} (y^{- 18})^{\frac{1}{3}}

Vereinfache

(x^{9})^{\frac{1}{3}} : x^{3}

= 4 x^{3} (y^{- 18})^{\frac{1}{3}}

Vereinfache

(y^{- 18})^{\frac{1}{3}} : \frac{1}{y ^{6}}

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

Vereinfache

4 x^{3} \frac{1}{y ^{6}} : \frac{4 x ^{3}}{y ^{6}}

= \frac{4 x ^{3}}{y ^{6}}

(x - 2) (x + 1) \leq 0

5 x + 2 = 22

x (x + 3) (2 x - 1) \geq 0

∣ 3 x + 6 ∣ \geq 1

f a c t or 6 x^{2} - 24 x - 30