If x is a positive integer, what is one possible value of the units digit of 1032x after it has been multiplied out?
For an integer, the units digit is the digit furthest to the right. It is sometimes referred to as the ones digit. For example, in a three-digit integer such as 125, the digit 5 is the units digit. In this problem, 1032x can be rewritten as (1032)x. The number 1032 has a units digit of 9. When a number with a units digit of 9 is raised to the x power, the resulting number will have a units digit of 1 (since 92 = 81) or a units digit of 9 (since 93 = 729). For all positive integer values of x, the units digit of 1032)x will be either 1 or 9.