Question 3
What is the remainder when the number
$$\left(\underbrace{999999\ldots999}_{2008\text{ nines}}\right)^{2007}-\left(\underbrace{333333\ldots333}_{2008\text{ threes}}\right)^{2007}$$
is divided by $11$?
$$\left(\underbrace{999999\ldots999}_{2008\text{ nines}}\right)^{2007}-\left(\underbrace{333333\ldots333}_{2008\text{ threes}}\right)^{2007}$$
is divided by $11$?