Open Middle®
Directions: Using the digits 0 to 9 at most one time each, fill in the boxes to generate equivalent numerical expressions:
Hint
What is the property of powers?
Answer
There are many possible solution combinations. The power pairs would be 0 & 9, 1 & 8, 2 & 7, 3 & 6, 4 & 5
Source: Bryan Anderson
A nice extension to this would be: Repeat the problem using the integers from -5 to +4.
7^4 x 7^5 = 7^3 x 7^6 = 7^2 x 7^7 = 7^1 x 7^8 = 7^0 x 7^9