SOLUTION: Simplify by taking roots of the numerator and the denominator. Assume that all expressions under radicals represent positive numbers. {{{root(3, 27x^14/y^3)}}} Type an exact ans

Algebra ->  Square-cubic-other-roots -> SOLUTION: Simplify by taking roots of the numerator and the denominator. Assume that all expressions under radicals represent positive numbers. {{{root(3, 27x^14/y^3)}}} Type an exact ans      Log On


   

Question 397257: Simplify by taking roots of the numerator and the denominator. Assume that all expressions under radicals represent positive numbers.
root%283%2C+27x%5E14%2Fy%5E3%29
Type an exact answer, using radicals as needed.
Found 3 solutions by josmiceli, ewatrrr, ihabsk:
Answer by josmiceli(19441) About Me  (Show Source):
Answer by ewatrrr(24785) About Me  (Show Source):
Answer by ihabsk(1) About Me  (Show Source):
You can put this solution on YOUR website!
root(3, 27x^14)/ root(3,y^3) = root(3, 3^3 x^3 x^3 x^3 x^3 x^2)/root(3,y^3)
= 3*x^4 radical(3, x^2)/ y