Open Middle®
Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to make the equation true.
Hint
How do you know when to multiply, divide, subtract, or add the exponents’ value?
Answer
There are many possible answers including:
(x^1)^0 · x^(6/3) = x^2
(x^4)^2 · x^(1/5) = x^3
(x^1)^0 · x^(6/3) = x^2
(x^4)^2 · x^(1/5) = x^3
Source: Robert Kaplinsky
I think there is a bit of a mix-up with the second solution. Wouldn’t you add the exponents instead of dividing? So x^8*x^(1/5) = x^(41/5) not x^3
Absolutely correct.
There’s a problem in the first solution too: 0 was not one of the usable digits.
Editing the directions to include the digits 0-9 offers the opportunity to bring to mind what an exponent of 0 means (again…and again and again).