How do you simplify #(25m^4n)/(-15mn^6)#? Algebra Exponents and Exponential Functions Exponential Properties Involving Quotients 1 Answer Alan P. May 3, 2015 #(25m^4n)/(-15mn^6)# #=(-25/15) * (m^4/m) * (n/n^6)# #=(-5/3) * (m^3) * (1/n^5)# #=-(5m^3)/(3n^5)# 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 1593 views around the world You can reuse this answer Creative Commons License