How do you rationalize the denominator & simplify: variable with exponents of #(9w^9)/(4 sqrt(2z^7))#? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Tiago Hands Apr 19, 2015 #(9w^9)/(4sqrt(2z^7))*(sqrt(2z^7))/(sqrt(2z^7))# #=(9w^9*2^(1/2)*z^(7/2))/(4*2*z^7)# #=(9w^9*2^(1/2)*z^(7/2))/(8*z^7)# #=9/8*w^9*sqrt(2)*z^(7/2-7)# Answer link Related questions How do you simplify #\frac{2}{\sqrt{3}}#? How do you multiply and divide radicals? How do you rationalize the denominator? What is Multiplication and Division of Radicals? How do you simplify #7/(""^3sqrt(5)#? How do you multiply #(sqrt(a) +sqrt(b))(sqrt(a)-sqrt(b))#? How do you rationalize the denominator for #\frac{2x}{\sqrt{5}x}#? Do you always have to rationalize the denominator? How do you simplify #sqrt(5)sqrt(15)#? How do you simplify #(7sqrt(13) + 2sqrt(6))(2sqrt(3)+3sqrt(6))#? See all questions in Multiplication and Division of Radicals Impact of this question 1375 views around the world You can reuse this answer Creative Commons License