SOLUTION: Please, need help to simplify problem below... (500x^4y^8)^(1/3) I would also appreciate if you could include a brief step-by-step explanation to help me better understand th

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Question 685724: Please, need help to simplify problem below...
(500x^4y^8)^(1/3)
I would also appreciate if you could include a brief step-by-step explanation to help me better understand the process...
Thanks in advance!

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
simplify problem below...
(500x^4y^8)^(1/3)
-----
Separate the problem into two pieces
where one of the pieces is the product of cubes.
----
= [(125x^3y^6)(4xy^2)]^(1/3)
-------
Rewrite as the product of 2 cube roots:
= (125x^3y^6)^(1/3) * (4xy^2)^(1/3)
------
Take the cube root of the perfect cube factor
to get the final answer:
---
= 5xy^2*(4xy^2)^(1/3)
========================
cheers,
Stan H.
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