SOLUTION: rationalize the denominator -4/(3x^3)^1/4. I need a step by step explanation.

Question 439678: rationalize the denominator -4/(3x^3)^1/4. I need a step by step explanation.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
rationalize the denominator -4/(3x^3)^1/4. I need a step by step explanation.
..
-4/(3x^3)^1/4
The denominator is a radical of index 4.
What you need to do is change the degree or power of all the factors inside the radical of the denominator to 4 or some multiple of 4. In this case you only need to change the power of each factor to 4. Once you have done that you can bring each factor outside, eliminating the radical in the denominator. This is how you do it:
multiply both numerator and denominator by (3^3x)^1/4
-4*(3^3x)^1/4/ (3x^3)^1/4*(3^3x)^1/4
-4*(3^3x)^1/4/(3^4x^4)^1/4
-4*(3^3x)^1/4/3x
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