a ^ 2 / a ^ 9 For this case what you should do is use the power properties to write the expression in different ways. Three different ways to write the expression are: Way 1: a ^ 2 / a ^ 9 = a ^ (2-9) = a ^ (- 7) = 1 / a ^ 7 1 / a ^ 7 Way 2: a ^ 2 / a ^ 9 = a ^ (2-9) = a ^ (- 7) a ^ (- 7) Way 3: a ^ 2 / a ^ 9 = a ^ 2 * a ^ (- 9) a ^ 2 * a ^ (- 9) Answer: all the equivalent to a ^ 2 / a ^ 9 are: 1 / a ^ 7 a ^ (- 7) a ^ 2 * a ^ (- 9)