Open Middle®
Directions: Using the digits 0 to 9, at most one time each, fill in the boxes to make a result that is as close to zero as possible.
Hint
What happens when you have a negative exponent?
Where does the 1 go?
Where does the 1 go?
Answer
8 ^ (-2) = 1 / 64
Source: Daniel Luevanos
How can you use the 4 in two places in the equation? If that’s allowed, then 2 ^ -6 = 1/64 should also be allowed.
Or 9^-2 = 1/81
or 3^-4 = 1/81
you use 1 twice bud
Good spot Ms. M. I have removed that solution.
So, it seems 7^-2 = 1/49 and 8^-2 = 1/64 are the only solutions which use unique digits, with the latter being closer to zero.
Any two-digit number at power -1
32^(-1) = 1/32
26^(-1) = 1/26