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 1196 views around the world You can reuse this answer Creative Commons License