vereinfachen (4c^5d^2)^{3/2}

Lösung

vereinfachen

(4 c^{5} d^{2})^{\frac{3}{2}}

8 c^{\frac{15}{2}} d^{3}

Schritte zur Lösung

(4 c^{5} d^{2})^{\frac{3}{2}}

Wende Exponentenregel an:

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

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

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

4^{\frac{3}{2}} = 8

= 8 (c^{5})^{\frac{3}{2}} (d^{2})^{\frac{3}{2}}

Vereinfache

(c^{5})^{\frac{3}{2}} : c^{\frac{15}{2}}

= 8 c^{\frac{15}{2}} (d^{2})^{\frac{3}{2}}

Vereinfache

(d^{2})^{\frac{3}{2}} : d^{3}

= 8 c^{\frac{15}{2}} d^{3}

s im pl i f y \frac{g ^{2}}{g ^{2} c ^{5}}

s im pl i f y \frac{1}{3} + \frac{5}{4}

e x p an d - 2 (x + 1)^{2}

s im pl i f y \frac{16}{72}

e x p an d (4 x - 2 y)^{5}