vereinfachen (64p^3)^{4/3}

Lösung

vereinfachen

(64 p^{3})^{\frac{4}{3}}

256 p^{4}

Schritte zur Lösung

(64 p^{3})^{\frac{4}{3}}

Wende Exponentenregel an:

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

(64 p^{3})^{\frac{4}{3}} = 6 4^{\frac{4}{3}} (p^{3})^{\frac{4}{3}}

= 6 4^{\frac{4}{3}} (p^{3})^{\frac{4}{3}}

6 4^{\frac{4}{3}} = 256

= 256 (p^{3})^{\frac{4}{3}}

Wende Exponentenregel an:

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

angenommen

a \geq 0

(p^{3})^{\frac{4}{3}} = p^{3 \cdot \frac{4}{3}}

= 256 p^{3 \cdot \frac{4}{3}}

3 \cdot \frac{4}{3} = 4

= 256 p^{4}

s im pl i f y \frac{y}{( - x ^{2} )} - 4 x - 2

f a c t or - 8 sin^{2} (a) - 7 - 8 cos^{2} (a)

e x p an d (2 a^{2} b + 3 a^{3} b^{2})^{3}

s im pl i f y (x^{2} - 7 x + 1) - (3 x^{2} - 7 x + 4)

f a c t or sin^{4} (x) - 1