SOLUTION: divide, and if possible, simplify. {{{root(3,250(x^5)(y^3))/root(3,2x^3)}}} please help!

Question 34332: divide, and if possible, simplify.

please help!
Answer by mbarugel(146) (Show Source): You can put this solution on YOUR website!
Hello!
Since both the numerator and the denominator have been applied the same radical (cubic root), you can join them in the following way:

Now simplifying the 250 and the 2 leaves 125 in the numerator:

Also, , so we get:

Finally, since we have a multiplication of terms, we can apply the cubic root to each of them:

Since the cubic root of 125 is 5, and the cubic root of y^3 is y, we get:

Finally, , so the final expression is:

I hope this helps!
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