2. Genghis Khan organized his men into groups of 10 soldiers under a “leader of 10.” Ten

“leaders of 10” were under a “leader of 100.” Ten “leaders of 100” were under a “leader of 1000.” *

(a) If Khan had an army of 10,000 soldiers at the lowest level, how many men in total were under him in his organization?

(b) If Khan had an army of 5763 soldiers at the lowest level, how many men in total were under him in his organization? Assume that the groups of 10 should contain 10 if possible, but that one group at each level may need to contain fewer.