Question

Dau coroana ,ajutati- ma la c

Answer 1

$=\Big\{\Big[\Big(\frac{2}{3}\Big)\Up^{1010}\Big]\Up^2\cdot\Big(\frac{2}{3}\Big)\Up^{20}-\Big(\frac{2}{3}\Big)\Up^{2000}\Big\}\cdot\Big(\frac{2}{3}\Big)\Up^{4000}$
$=\Big[\Big(\frac{2}{3}\Big)\Up^{2020}\cdot\Big(\frac{2}{3}\Big)\Up^{20}-\Big(\frac{2}{3}\Big)\Up^{2000}\Big]\cdot\Big(\frac{2}{3}\Big)\Up^{4000}$
$=\Big[\Big(\frac{2}{3}\Big)\Up^{2040}-\Big(\frac{2}{3}\Big)\Up^{2000}\Big]\cdot\Big(\frac{2}{3}\Big)\Up^{4000}$
$=\Big(\frac{2}{3}\Big)\Up^{6040}-\Big(\frac{2}{3}\Big)\Up^{6000}$
$=\frac{2^{6040}}{3^{6040}}-\frac{2^{6000}}{3^{6000}}$
$=\frac{2^{6040}}{3^{6040}}-\frac{2^{6000}\cdot3^{40}}{3^{6040}}$
$=\frac{2^{6040}-2^{6000}\cdot3^{40}}{3^{6040}}$
$=\frac{2^{6000}(2^{40}-3^{40})}{3^{6040}}$
Mai departe nu mai stiu