# Grid-Ins

## Student-Produced Response

If x is a positive integer, what is one possible value of
the units digit of 103^{2x} after it has been multiplied out?

**Explanation:**

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, 103^{2x}
can be rewritten as (103^{2})^{x}.
The number 103^{2} 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 9^{2} = 81) or a units digit
of 9 (since 9^{3} = 729). For all positive integer values of *x*, the units digit of 103^{2})^{x} will be either 1 or 9.