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Equivalent Exponents

Directions: Using the digits 0-9 only once each, create as many true equations as possible.

Hint

Hint

How can you use the fact that anything to the zero power equals one?
In what ways are 3 and 9 are connected, as are 2, 4 and 8?
How can we use this knowledge to build on creating equivalent expressions?

Answer

Answer

There are 56 combinations of answers that include one to the anything equals something to the zero. Aside from that, I have found
8^1=2^3
9^1=3^2
8^2=4^3
9^2=3^4
8^3=2^9
9^4=3^8
8^6=4^9

Source: Annie DeAngelo and Maeve O’Connell

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One comment

  1. Some examples are 8^3=2^9,8^6=4^9,8^1=2^3, and 8^2=4^3.

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