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 1498 views around the world You can reuse this answer Creative Commons License