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?

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

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

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