Open Middle®
Directions: Using the digits 0 to 9, at most one time each, place a digit in each box to create as many true equations as possible.
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
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.
8^1=2^3
8^2=4^4
8^3=2^9
8^6=4^9
Porque seria el mismo dijito sumado porque como si lo miras biennes el mismo dijito porque algunos son ejemplos
8^1=2^3
8^2=4^4
8^3=2^9
8^6=4^9
8 to the power of 2=4 to the power of 3
8^2 = 4^3
3^2 = 9^1
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
The only solution missing from the solution section is 2^6 = 4^3