How do you divide (2/7)^-3? Algebra Exponents and Exponential Functions Exponential Properties Involving Quotients 1 Answer Alan P. Aug 1, 2015 (2/7)^(-3) = 147/8 = 18 3/8 Explanation: (2/7)^-3 color(white)("XXXX")= 1/((2/7)^3) color(white)("XXXX")= 1/(2^3/7^3) color(white)("XXXX")= (7^3)/(2^3) color(white)("XXXX")= 147/8 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 1744 views around the world You can reuse this answer Creative Commons License