vereinfachen (8x^4y^2)^{2/3}

Lösung

vereinfachen

(8 x^{4} y^{2})^{\frac{2}{3}}

4 x^{\frac{8}{3}} y^{\frac{4}{3}}

Schritte zur Lösung

(8 x^{4} y^{2})^{\frac{2}{3}}

Wende Exponentenregel an:

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

(8 x^{4} y^{2})^{\frac{2}{3}} = 8^{\frac{2}{3}} (x^{4})^{\frac{2}{3}} (y^{2})^{\frac{2}{3}}

= 8^{\frac{2}{3}} (x^{4})^{\frac{2}{3}} (y^{2})^{\frac{2}{3}}

8^{\frac{2}{3}} = 4

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

Vereinfache

(x^{4})^{\frac{2}{3}} : x^{\frac{8}{3}}

= 4 x^{\frac{8}{3}} (y^{2})^{\frac{2}{3}}

Vereinfache

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

= 4 x^{\frac{8}{3}} y^{\frac{4}{3}}

s im pl i f y 1 \frac{2}{5} + 0.075

s im pl i f y a - (b - c)

f a c t or 2 x^{4} - 4 x^{2} - 6 x - 4

s im pl i f y x^{2} + (x + 1)^{2}

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