How do you simplify ((3x^2y^-3) / (7xy)) ^3? Algebra Exponents and Exponential Functions Exponential Properties Involving Quotients 1 Answer Mark D. May 23, 2018 (27x^3)/(343y^12) Explanation: [(3x^2y^-3)/(7xy)]^3 [(3xy^-3)/(7y)]^3 =[(3x)/(7y^4)]^3 =[(3^3x^3)/(7^3y^12)] (27x^3)/(343y^12) 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 1883 views around the world You can reuse this answer Creative Commons License