Properties of Integer Exponents

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

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2 comments

  1. A nice extension to this would be: Repeat the problem using the integers from -5 to +4.

  2. 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

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