SOLUTION: Help needed please. Need to simplify. x and y represent non-negative real numbers. ∛((-27y^18)/(81x^6 )) When I multi[ply by the conjugate to find the answer, as sho

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Question 1124907: Help needed please. Need to simplify. x and y represent non-negative real numbers.
∛((-27y^18)/(81x^6 ))
When I multi[ply by the conjugate to find the answer, as shown below, I think I'm messing up.

-∛y^6/∛3x^2(∛3x^2/∛3x^2)

Is this correct? For some reason this area of study isn't clicking.
Advice on how to go about solving would be greatly appreciated.
Thank you!
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


The key to this one is if you have the cube root of an expression in the denominator, you need to multiply by the cube root of that expression SQUARED in order to rationalize your denominator. Also, it is frequently easier to see what is going on if you use rational exponents instead of radicals.







Note: so







Here is where you introduce the cube root squared factor:





And you are done.


John

My calculator said it, I believe it, that settles it
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