How do you simplify # (x^6)^3 / (x^3)^4#? Algebra Exponents and Exponential Functions Exponential Properties Involving Quotients 1 Answer sankarankalyanam May 6, 2018 #color(purple)(=> x^6# Explanation: #(x^6)^3 / (x^3)^4# #=> (x)^(6 * 3) / (x)^(3 * 4), " as " (a^m)^n = (a)^(mn)# #=> x^(18) / x^(12)# #=> x^ (18 -12) " as " a^m / a^n = a^(m-n)# #color(purple)(=> x^6# 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 2080 views around the world You can reuse this answer Creative Commons License