SOLUTION: Hi there! I need help with cubed roots. Here is my problem. I need to simplify it ^3sqrt(54y^21) Thank you for your help!

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson  -> Lesson -> SOLUTION: Hi there! I need help with cubed roots. Here is my problem. I need to simplify it ^3sqrt(54y^21) Thank you for your help!      Log On


   

Question 704429: Hi there! I need help with cubed roots. Here is my problem. I need to simplify it
^3sqrt(54y^21)
Thank you for your help!
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!

∛54y21

∛27·2y21

∛33·2y21

Since both exponents 3 and 21 are divisible
by the index of cube roots, which is 3, we
divide the two exponents by 3 and take them
out in front of the radical, and leave just 
the 2 under the radical:

3y7∛2

Edwin