Lösung Vereinfachen

Zuletzt geändert von Holger Engels am 2024/10/15 14:36
  1. \left(2^{3}\right)^{2}=2^{3\cdot2}=2^{6}=64
  2. 8^{2/3} \cdot 4^{1/2} : 2^3 = (2^3)^{2/3} \cdot (2^2)^{1/2} : 2^3 = 2^2 \cdot 2^1 : 2^3 = 2^{2+1-3} = 1
  3. 2^x\cdot2^{3-x}=2^{x+(3-x)}=2^3=8
  4. \frac{1}{8}\cdot2^{3+x}=2^x
  5. \frac{x^{2u}\cdot x^{a-u}}{x^u}=\frac{x^{2u}\cdot x^{a}\cdot x^{-u}}{x^u}=\frac{x^{2u}\cdot x^{a}}{x^u\cdot x^{+u}}=\frac{x^{2u}\cdot x^{a}}{x^{2u}}=x^{a}