Directions: Using the digits 1 to 9, at most one time each, fill in the boxes to make a result that has the greatest value possible.

### Hint

How does changing the base affect the value?

How does changing the exponent affect the value?

How does changing the exponent affect the value?

### Answer

Initially, some students may think that the answer is 8^9. This breaks the structure of the problem, as the result has to be 3-digits.

The largest possible 3-digit result is 729 from 3^6 = 729.

Source: Robert Kaplinsky

The given answer is incorrect. Although 9^3 = 729, the directions say to use each digit “at most one time each.” This answer repeats the digit 9.

You’re totally right, Patrick. I’ll change it to just the single answer.