How do you simplify (2m^2)^-1/m^2 and write it using only positive exponents? Algebra Exponents and Exponential Functions Exponential Properties Involving Quotients 1 Answer Tamir E. Nov 21, 2017 1/(2m^4) Explanation: (2m^2)^(-1)=1/(2m^2) => ((2m^2)^(-1))/m^2={1/(2m^2)}/m^2=1/(2m^4) Answer link Related questions What is the quotient of powers property? How do you simplify expressions using the quotient rule? What is the power of a quotient property? How do you evaluate the expression (2^2/3^3)^3? How do you simplify the expression \frac{a^5b^4}{a^3b^2}? How do you simplify ((a^3b^4)/(a^2b))^3 using the exponential properties? How do you simplify \frac{(3ab)^2(4a^3b^4)^3}{(6a^2b)^4}? Which exponential property do you use first to simplify \frac{(2a^2bc^2)(6abc^3)}{4ab^2c}? How do you simplify (x^5y^8)/(x^4y^2)? How do you simplify [(2^3 *-3^2) / (2^4 * 3^-2)]^2? See all questions in Exponential Properties Involving Quotients Impact of this question 3051 views around the world You can reuse this answer Creative Commons License