(x-8)^{7/2}-64(x-8)^{3/2}

Lösung

(x - 8)^{\frac{7}{2}} - 64 (x - 8)^{\frac{3}{2}}

(x - 8)^{3} (x - 8)^{\frac{1}{2}} - 64 (x - 8) (x - 8)^{\frac{1}{2}}

Schritte zur Lösung

(x - 8)^{\frac{7}{2}} - 64 (x - 8)^{\frac{3}{2}}

Wende Exponentenregel an:

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

(x - 8)^{\frac{7}{2}} = (x - 8)^{3 + \frac{1}{2}} = (x - 8)^{3} (x - 8)^{\frac{1}{2}}

= (x - 8)^{3} (x - 8)^{\frac{1}{2}} - 64 (x - 8)^{\frac{3}{2}}

Wende Exponentenregel an:

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

(x - 8)^{\frac{3}{2}} = (x - 8)^{1 + \frac{1}{2}} = (x - 8) (x - 8)^{\frac{1}{2}}

= (x - 8)^{3} (x - 8)^{\frac{1}{2}} - 64 (x - 8) (x - 8)^{\frac{1}{2}}

3 z - 8 + 6 z - 12 = z - 10 + 9 z - 13

45 = \frac{45}{360} \cdot 2 (6)

0.36 = - 2 \cdot 1 0^{- 6} x^{2} + 0.0011 x + 0.3548

∣ 2 y - 8 ∣ = 2

s im pl i f y 3.1 \cdot \frac{5 π}{3}