How do you simplify #((3x)/(y^(1/3)))^3# without any fractions in the answer? Algebra Exponents and Exponential Functions Fractional Exponents 1 Answer geerky42 Mar 29, 2018 #27x^3y^{-1}# Explanation: #(frac{3x}{y^{frac{1}{3}}})^3# #frac{(3x)^3}{(y^{frac{1}{3}})^3}# #frac{3^3x^3}{y}# #frac{27x^3}{y}# #27x^3y^{-1}# Answer link Related questions What are Fractional Exponents? How do you convert radical expressions to fractional exponents? How do you simplify fractional exponents? How do you evaluate fractional exponents? Why are fractional exponents roots? How do you simplify #(x^{\frac{1}{2}} y^{-\frac{2}{3}})(x^2 y^{\frac{1}{3}})#? How do you simplify #\frac{a^{-2}b^{-3}}{c^{-1}}# without any negative or fractional exponents... How do you evaluate #(16^{\frac{1}{2}})^3#? What is #5^0#? How do you simplify #25^(3/2)#? See all questions in Fractional Exponents Impact of this question 10747 views around the world You can reuse this answer Creative Commons License