vereinfachen (2/3)^{2/3}*(3/2)^{-1/3}

Lösung

vereinfachen

(\frac{2}{3})^{\frac{2}{3}} \cdot (\frac{3}{2})^{- \frac{1}{3}}

\frac{2}{3}

Dezimale

0.66666 \dots

Schritte zur Lösung

(\frac{2}{3})^{\frac{2}{3}} (\frac{3}{2})^{- \frac{1}{3}}

(\frac{2}{3})^{\frac{2}{3}} = (\frac{4}{9})^{\frac{1}{3}}

= (\frac{4}{9})^{\frac{1}{3}} (\frac{3}{2})^{- \frac{1}{3}}

(\frac{3}{2})^{- \frac{1}{3}} = (\frac{2}{3})^{\frac{1}{3}}

= (\frac{4}{9})^{\frac{1}{3}} (\frac{2}{3})^{\frac{1}{3}}

(\frac{4}{9})^{\frac{1}{3}} = (\frac{2}{3})^{\frac{2}{3}}

= (\frac{2}{3})^{\frac{2}{3}} (\frac{2}{3})^{\frac{1}{3}}

Wende Exponentenregel an:

a^{b} \cdot a^{c} = a^{b + c}

(\frac{2}{3})^{\frac{2}{3}} (\frac{2}{3})^{\frac{1}{3}} = (\frac{2}{3})^{\frac{2}{3} + \frac{1}{3}}

= (\frac{2}{3})^{\frac{2}{3} + \frac{1}{3}}

\frac{2}{3} + \frac{1}{3} = 1

= (\frac{2}{3})^{1}

Wende Exponentenregel an:

a^{1} = a

= \frac{2}{3}

4 x - 18 \leq - 46

n^{2} = 1 0^{6}

f a c t or 4 x + 36

- 4 x - 10 = x + 5

∣ 2 - 3 x ∣ \leq 8