SOLUTION: Hi. I'm having a problem with my homework. I don't know how to write the radical sign so I will type out the problem. The Question is: Simplify the expression, and rationalize t

Algebra ->  Radicals -> SOLUTION: Hi. I'm having a problem with my homework. I don't know how to write the radical sign so I will type out the problem. The Question is: Simplify the expression, and rationalize t      Log On


   

Question 210255: Hi. I'm having a problem with my homework. I don't know how to write the radical sign so I will type out the problem.
The Question is:
Simplify the expression, and rationalize the denominator when appropriate.
The cubed root of 5x^2y^5/the cubed root of 9x.

Thanks in advance
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The cubed root of 5x^2y^5/the cubed root of 9x.
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(5x^2y^5)^(1/3) / (9x)^(1/3)
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= [(5x^2y^5)/(9x)]^(1/3)
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= [5xy^5/9]^(1/3)
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= [y^3]^(1/3)^(1/3)
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= y^(1/3)
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Cheers,
Stan H.