Question

Impartiti puterea a 4-a a numarului $\frac{4}{9}$ la puterea a 7-a a numarului 0,(6)
Va rog , am nevoie cat mai repede !

Answer 1

0,(6)=6/9=2/3

4/9=(2/3)²

Acum
$\left( \dfrac{4}{9}\right)^4:\left(\dfrac{2}{3}\right)^7=\left(\dfrac{2}{3}\right)^8:\left(\dfrac{2}{3}\right)^7=\dfrac{2}{3}$