How do you use the laws of exponents to simplify the expression #(30x^10 y^4)/ (-5x^12y^2)#? Algebra Exponents and Exponential Functions Exponential Properties Involving Quotients 1 Answer Don't Memorise May 2, 2015 #(30x^10 y^4)/ (-5x^12y^2)# # = (30/-5)(x^10/x^12)(y^4/y^2)# We know that #color(blue)(a^m/a^n = a^(m-n)# # = -6 * x^(10-12) * y^(4-2)# # = -6*x^-2*y^2# # =color(green)(( -6 y^2)/x^2# 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 1222 views around the world You can reuse this answer Creative Commons License