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Beliebt Algebra >

vereinfachen (32x^3)^{2/5}

Lösung

vereinfachen

(32 x^{3})^{\frac{2}{5}}

Lösung

4 x^{\frac{6}{5}}

Schritte zur Lösung

(32 x^{3})^{\frac{2}{5}}

Wende Exponentenregel an:

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

(32 x^{3})^{\frac{2}{5}} = 3 2^{\frac{2}{5}} (x^{3})^{\frac{2}{5}}

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

3 2^{\frac{2}{5}} = 4

= 4 (x^{3})^{\frac{2}{5}}

Wende Exponentenregel an:

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

angenommen

a \geq 0

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

= 4 x^{3 \cdot \frac{2}{5}}

3 \cdot \frac{2}{5} = \frac{6}{5}

= 4 x^{\frac{6}{5}}

Beliebte Beispiele

3 x^{2} = 0

(6x-1)/4+(5-2x)/2 =1

\frac{6 x - 1}{4} + \frac{5 - 2 x}{2} = 1

- \frac{3}{2} (2)^{0}

vereinfachen (8^{-5})/(8^{-2)}

s im pl i f y \frac{8 ^{- 5}}{8 ^{- 2}}

(3x}{15}-x=\frac{3x)/3+9/5

\frac{3 x}{15} - x = \frac{3 x}{3} + \frac{9}{5}