vereinfachen 500^{1/3}

Lösung

vereinfachen

50 0^{\frac{1}{3}}

2^{\frac{2}{3}} \cdot 5

Dezimale

7.93700 \dots

Schritte zur Lösung

50 0^{\frac{1}{3}}

Primfaktorzerlegung von

500 : 2^{2} \cdot 5^{3}

= (2^{2} \cdot 5^{3})^{\frac{1}{3}}

Wende Exponentenregel an:

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

(2^{2} \cdot 5^{3})^{\frac{1}{3}} = (2^{2})^{\frac{1}{3}} (5^{3})^{\frac{1}{3}}

= (2^{2})^{\frac{1}{3}} (5^{3})^{\frac{1}{3}}

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

= 2^{\frac{2}{3}} (5^{3})^{\frac{1}{3}}

(5^{3})^{\frac{1}{3}} = 5

= 2^{\frac{2}{3}} \cdot 5

s im pl i f y \frac{2 π}{3} + \frac{π}{4}

s im pl i f y - x - 4 (x - 2)

s im pl i f y \frac{3 π}{2} \times \frac{180}{π}

f a c t or 8 x^{2} - 2 x - 21

e x p an d 7 (x - 4)^{2}