Simplify the expression using the properties of exponents. Expand any numerical portion of your answer and only include positive exponents.

Question

(2/xy^2)^−1

Answer 1

To simplify the expression (2/xy^2)^−1, we can apply the property of exponents that states (a/b)^(-n) = (b/a)^n.

Therefore, (2/xy^2)^−1 is equivalent to (xy^2/2)^1.

Since it is raised to the power of 1, we can remove the exponent and write it as xy^2/2.