How do you simplify (6f^-2 g^3 h^5 )/(54f^-2 g^-5 h^3)? Algebra Exponents and Exponential Functions Exponential Properties Involving Quotients 1 Answer Mark D. ยท CountryGirl May 29, 2018 (g^8h^2)/9 Explanation: Simplify all like terms: 6/54=1/9 f^-2/(f^-2)=f^(-2- -2)=f^(-2+2)=f^0=1 g^3/(g^-5)=g^(3- -5)= g^(3 + 5) = g^8 h^5/h^3=h^(5-3)=h^2 Put these together: (g^8h^2)/9 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 2197 views around the world You can reuse this answer Creative Commons License