erweitern [(sqrt(16))^6]^{1/3}

Lösung

erweitern

[(16)^{6}]^{\frac{1}{3}}

16

Schritte zur Lösung

((16)^{6})^{\frac{1}{3}}

Wende Exponentenregel an:

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

= (16)^{6 \cdot \frac{1}{3}}

6 \cdot \frac{1}{3} = 2

= (16)^{2}

Wende Exponentenregel an:

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

= 1 6^{\frac{1}{2} \cdot 2}

\frac{1}{2} \cdot 2 = 1

= 16

e x p an d (x - π) \cdot (x^{2} + 2)

e x p an d x (x - 6 x)

e x p an d e^{- x} (1 + x) \frac{d y}{d x} - e^{- x} x y

e x p an d 16 n (2 k)^{4} - 32 (2 k)^{3} + 24 (2 k)^{2} - 8 (2 k)

e x p an d \frac{5 x + 10 - 4 x ^{2}}{x ^{2} ( x + 2 )}