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Exponent (Maximum Value)

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



How does changing the base affect the value?
How does changing the exponent affect the value?



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 and can be either 3^6 = 729 or 9^3 = 729.

Source: Robert Kaplinsky

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  1. 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.

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