vereinfachen (x^8y^4)^{1/10}+3(x^{1/5}y^{1/10})^4

Lösung

vereinfachen

(x^{8} y^{4})^{\frac{1}{10}} + 3 (x^{\frac{1}{5}} y^{\frac{1}{10}})^{4}

4 x^{\frac{4}{5}} y^{\frac{2}{5}}

Schritte zur Lösung

(x^{8} y^{4})^{\frac{1}{10}} + 3 (x^{\frac{1}{5}} y^{\frac{1}{10}})^{4}

(x^{8} y^{4})^{\frac{1}{10}} = x^{\frac{4}{5}} y^{\frac{2}{5}}

(x^{\frac{1}{5}} y^{\frac{1}{10}})^{4} = x^{\frac{4}{5}} y^{\frac{2}{5}}

= x^{\frac{4}{5}} y^{\frac{2}{5}} + 3 x^{\frac{4}{5}} y^{\frac{2}{5}}

Addiere gleiche Elemente:

x^{\frac{4}{5}} y^{\frac{2}{5}} + 3 x^{\frac{4}{5}} y^{\frac{2}{5}} = 4 x^{\frac{4}{5}} y^{\frac{2}{5}}

= 4 x^{\frac{4}{5}} y^{\frac{2}{5}}

10 - 2 (2 x - 4) = (3 x + 4) 2

s im pl i f y 0. 6^{3}

f a c t or 2 x^{2} + 9 x - 5

s im pl i f y \frac{10 k ^{2} + 30 k}{25 k ^{2}}

(x - 2)^{2} + (x - 3)^{2} \leq 2 (x - 1)^{2}