Question #d2529 Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer ali ergin Aug 16, 2016 root(4)(16x^4y^5)*root(4)(243y^7)=6xy^3 root(4)34√16x4y5⋅4√243y7=6xy34√3 Explanation: root(4)(16x^4y^5)*root(4)(243y^7) ?4√16x4y5⋅4√243y7? root(4)(2^4x^4y^12*3^4*3^1)=2*3*x*y^3root(4)3=6xy^3 root(4)34√24x4y12⋅34⋅31=2⋅3⋅x⋅y34√3=6xy34√3 Answer link Related questions How do you simplify \frac{2}{\sqrt{3}}2√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)73√5? How do you multiply (sqrt(a) +sqrt(b))(sqrt(a)-sqrt(b))(√a+√b)(√a−√b)? How do you rationalize the denominator for \frac{2x}{\sqrt{5}x}2x√5x? Do you always have to rationalize the denominator? How do you simplify sqrt(5)sqrt(15)√5√15? How do you simplify (7sqrt(13) + 2sqrt(6))(2sqrt(3)+3sqrt(6))(7√13+2√6)(2√3+3√6)? See all questions in Multiplication and Division of Radicals Impact of this question 1144 views around the world You can reuse this answer Creative Commons License