SOLUTION: Multiply & simplify by factoring. Assume that all expressions under radicals represent nonnegative numbers. root (3, y10)* root (3, 16y^11)

Algebra ->  Radicals -> SOLUTION: Multiply & simplify by factoring. Assume that all expressions under radicals represent nonnegative numbers. root (3, y10)* root (3, 16y^11)      Log On


   



Question 132427: Multiply & simplify by factoring. Assume that all expressions under radicals represent nonnegative numbers.
root (3, y10)* root (3, 16y^11)

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
(y^10)^(1/3)*(16y^11)^(1/3)
=(16y^21)^(1/3) When multiplying like numbers with exponents add the exponents.
=(2^4y^21)^(1/3)
=2^(4/3)y^7 When taking like numbers with exponents to exponents then multiply the exponents.
.
Ed