vereinfachen (\sqrt[4]{6})/(\sqrt[3]{2)}

Lösung

vereinfachen

\frac{4 6}{3 2}

\frac{4 3}{12 2}

Dezimale

1.24220 \dots

Schritte zur Lösung

\frac{4 6}{3 2}

Wende Radikal Regel an:

n a = a^{\frac{1}{n}}

46 = 6^{\frac{1}{4}}

= \frac{6 ^{\frac{1}{4}}}{3 2}

Wende Radikal Regel an:

n a = a^{\frac{1}{n}}

32 = 2^{\frac{1}{3}}

= \frac{6 ^{\frac{1}{4}}}{2 ^{\frac{1}{3}}}

Faktorisiere

6^{\frac{1}{4}} : 2^{\frac{1}{4}} \cdot 3^{\frac{1}{4}}

= \frac{2 ^{\frac{1}{4}} \cdot 3 ^{\frac{1}{4}}}{2 ^{\frac{1}{3}}}

Vereinfache

\frac{2 ^{\frac{1}{4}}}{2 ^{\frac{1}{3}}} : \frac{1}{12 2}

= \frac{3 ^{\frac{1}{4}}}{12 2}

Wende Exponentenregel an:

a^{\frac{1}{n}} = n a

3^{\frac{1}{4}} = 43

= \frac{4 3}{12 2}

1 + 3 p > 10

f a c t or 11 x^{3} y^{3} + 55 x^{5} y

x^{2} + 12 x + 27 < 0

0^{3} + 2 (0)^{2} < (0)^{2} (0 + 2) - 3 (0 - 1)

s im pl i f y 4 e^{0}