Final answer:
The expression x^-2 is rewritten as 1/x^2 by taking the reciprocal of the base x and raising it to the positive exponent 2.
Step-by-step explanation:
The expression x^-2 can be rewritten without a negative exponent by recognizing that negative exponents indicate the reciprocal of the base raised to the positive exponent. Thus, x^-2 becomes 1/x^2.
According to the properties of exponents, when a base is raised to a negative exponent, you can change it to a positive exponent by taking the reciprocal of the base. This means that you place the base with the positive exponent in the denominator. The result is that you have divided by the base raised to that exponent.