How do you multiplying radical expression with different exponents #7^4sqrt(4a^3b) * 3sqrt(2a^2 b)#? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Alan P. Mar 22, 2015 Note #sqrt(a) xx sqrt(b) = sqrt( a xx b)# and #p sqrt(a) xx q sqrt(b) = pq sqrt(a xx b)# So #7^4 sqrt(4a^3b) * 3 sqrt(2a^2b)# #= 3*7^4 sqrt(8a^5b^2)# #=3*7^4*2a^2b sqrt(2a)# 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 1502 views around the world You can reuse this answer Creative Commons License