vereinfachen \sqrt[3]{(2x^2)}^2

Lösung

vereinfachen

3 (2 x^{2})^{2}

2^{\frac{2}{3}} x^{\frac{4}{3}}

Schritte zur Lösung

(3 (2 x^{2}))^{2}

Wende Radikal Regel an:

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

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

Wende Exponentenregel an:

(a^{b})^{c} = a^{b c}

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

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

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

Wende Exponentenregel an:

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

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

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

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

s im pl i f y π c \frac{m ^{2}}{4} c m^{2 \circ} 1

s im pl i f y 45195 \cdot 3.05 \cdot 1 0^{- 6}

s im pl i f y 152^{10}

s im pl i f y 1^{2} e^{- 1^{2}}

s im pl i f y b^{2} (3 a b^{3}) (2 a^{2} b - 5)