vereinfachen (625x^6)^{3/4}

Lösung

vereinfachen

(625 x^{6})^{\frac{3}{4}}

125 x^{\frac{9}{2}}

Schritte zur Lösung

(625 x^{6})^{\frac{3}{4}}

Wende Exponentenregel an:

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

(625 x^{6})^{\frac{3}{4}} = 62 5^{\frac{3}{4}} (x^{6})^{\frac{3}{4}}

= 62 5^{\frac{3}{4}} (x^{6})^{\frac{3}{4}}

62 5^{\frac{3}{4}} = 125

= 125 (x^{6})^{\frac{3}{4}}

Wende Exponentenregel an:

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

angenommen

a \geq 0

(x^{6})^{\frac{3}{4}} = x^{6 \cdot \frac{3}{4}}

= 125 x^{6 \cdot \frac{3}{4}}

6 \cdot \frac{3}{4} = \frac{9}{2}

= 125 x^{\frac{9}{2}}

4 x + 2 x + 6 = 90

5 x^{2} + 3 x = 92

s im pl i f y (- 2 h^{5}) (4 h^{- 3})

s im pl i f y \frac{( \frac{\frac{a}{b}}{\frac{c}{d}} )}{\frac{e}{f}}

s im pl i f y (- 243 x^{- 15})^{\frac{1}{5}}