Open Middle®

Fractional Power to a Power

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to make the equation true.

How are the fractional exponent and the exponent outside the parenthesis related?

There are many possible answers. Three examples are:

(2^1/3)^6 = 4 — the 6 and 1 can change places
(2^1/3)^9 = 8 — the 9 and 1 can change places
(2^6/2)^1 = 8 — the 1 and 6 can change places

Directions: Using the integers -9 to 9, at most one time each, place an integer …