How do you simplify #(15x^-2y^-4)^-1 /(30xy)^-1#? Algebra Exponents and Exponential Functions Exponential Properties Involving Quotients 1 Answer Alan P. Jun 25, 2015 #((15x^(-2)y^(-4))^(-1))/((30xy)^(-1))# #color(white)("XXXX")##=((30xy))/((15x^(-2)y^(-4)))# #color(white)("XXXX")##= 30/15 * x/x^(-2) * y/y^(-4)# #color(white)("XXXX")##= 2x^3y^5# (The major concept used throughout this is: #color(white)("XXXX")##b^(-m) = 1/(b^m)# and #1/b^(-m) = b^m#) 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 1373 views around the world You can reuse this answer Creative Commons License