(x-5)^{7/2}-25(x-5)^{3/2}

Lösung

(x - 5)^{\frac{7}{2}} - 25 (x - 5)^{\frac{3}{2}}

(x - 5)^{3} (x - 5)^{\frac{1}{2}} - 25 (x - 5) (x - 5)^{\frac{1}{2}}

Schritte zur Lösung

(x - 5)^{\frac{7}{2}} - 25 (x - 5)^{\frac{3}{2}}

Wende Exponentenregel an:

a^{b + c} = a^{b} \cdot a^{c}

(x - 5)^{\frac{7}{2}} = (x - 5)^{3 + \frac{1}{2}} = (x - 5)^{3} (x - 5)^{\frac{1}{2}}

= (x - 5)^{3} (x - 5)^{\frac{1}{2}} - 25 (x - 5)^{\frac{3}{2}}

Wende Exponentenregel an:

a^{b + c} = a^{b} \cdot a^{c}

(x - 5)^{\frac{3}{2}} = (x - 5)^{1 + \frac{1}{2}} = (x - 5) (x - 5)^{\frac{1}{2}}

= (x - 5)^{3} (x - 5)^{\frac{1}{2}} - 25 (x - 5) (x - 5)^{\frac{1}{2}}

\frac{6}{7} = 9 m

s im pl i f y ln (3) \cdot ln (3)

s im pl i f y \frac{135 π}{180}

s im pl i f y 3 (\frac{1}{9})

s im pl i f y (\frac{1}{4} m - 2 n)^{2}