Open Middle®
Directions: Using the digits 0 to 9, at most one time each, place a digit in each box to generate equivalent numerical expressions:
Hint
What is the property of powers?
Answer
There are many possible solution combinations. The power pairs would be 8 & 9, 6 & 7, 4 & 5, 1, 2 & 3
Another power pair would be 4 & 9, 3 & 8, 2 & 7, 5, 1 & 6
Another power pair would be 4 & 9, 3 & 8, 2 & 7, 5, 1 & 6
Source: Bryan Anderson
x^-1. x^6 = x^-2 . x^7 = x^-3 . x^8 = x^5 = x^-4 . x^9
x^-1. x^6 = x^-2 . x^7 = x^-3 . x^8 = x^5 = x^-4 . x^9
x^-8 * x^9 = x^-6 * x^7 = x^-4 * x^5 = x^1 = x^-2 * x^3