Directions: Using the digits 1 to 9 at most one time each, fill in the boxes to make an equation where the product’s exponent has the greatest possible value.

### Hint

How do you know when to multiply, divide, subtract, or add the exponents’ value?

### Answer

There are many possible answers that make the product’s exponent equal to 9 including:

(x^3)^5 · x^(1/6) = x^9

(x^3)^5 · x^(1/6) = x^9

Source: Robert Kaplinsky