How do you simplify #root3(a^4b^5)#? Algebra Radicals and Geometry Connections Simplification of Radical Expressions 1 Answer Tony B Mar 4, 2018 #abroot(3)(ab^2)# Explanation: Note that #a^4# is the same as #a^3xxa # Note that #b^5# is the same as #b^3xxb^2# So #root(3)(a^4b^5) = root(3)(a^3xxaxxb^3xxb^2)# #color(white)("ddddddd")=abroot(3)(ab^2)# Answer link Related questions How do you simplify radical expressions? How do you simplify radical expressions with fractions? How do you simplify radical expressions with variables? What are radical expressions? How do you simplify #root{3}{-125}#? How do you write # ""^4sqrt(zw)# as a rational exponent? How do you simplify # ""^5sqrt(96)# How do you write # ""^9sqrt(y^3)# as a rational exponent? How do you simplify #sqrt(75a^12b^3c^5)#? How do you simplify #sqrt(50)-sqrt(2)#? See all questions in Simplification of Radical Expressions Impact of this question 1058 views around the world You can reuse this answer Creative Commons License