How do you simplify (-24fg)/(30f^2) ? Algebra Exponents and Exponential Functions Exponential Properties Involving Quotients 1 Answer Don't Memorise May 20, 2016 = (-4 g) / (5f) Explanation: (-24fg)/(30f^2 = (-24 * f * g)/(30 * f^2 = (-cancel24 /cancel30) * (f / f^2) * g = (-4 /5) * (f / f^2) * g applying property color(blue)(a^m/a^n = a ^(m-n to exponents involving f: = (-4 /5) * f ^ ( 1 -2 ) * g = (-4 /5) * f ^ ( -1 ) * g = -(4 g) / (5f) 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 1355 views around the world You can reuse this answer Creative Commons License