Moore's law says that the number of transistors that can be placed inexpensively on a silicon chip doubles every two years. In 1990, a typical CPU contained about $1,\!000,\!000$ transistors. According to Moore's law, how many transistors did a typical CPU contain in the year 2000?
To solve this problem, I need to find out how many times the number of transistors doubled from 1990 to 2000. Since the doubling period is every two years, I can divide the time span by two to get the number of doublings. So, from 1990 to 2000, there were $10 \div 2 = 5$ doublings. That means the number of transistors multiplied by $2^5 = 32$. Therefore, the number of transistors in 2000 was $1,\!000,\!000 \times 32 = 32,\!000,\!000$. 