SOLUTION: fourth root (27 y^3)/ fourth root (8 x^7) rationalize the denominator and simplify

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Question 536248: fourth root (27 y^3)/ fourth root (8 x^7)
rationalize the denominator and simplify
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
root%284%2C+27y%5E3%29%2Froot%284%2C+8x%5E7%29


To rationalize the denominator, multiply by 1 in the form of denominator/denominator. Any number over itself is 1, and 1 times anything is the thing itself.



Anything that's raised to the 4th power can be pulled out of the 4th root.


x%5E7=x%5E4x%5E3 So it becomes root%284%2C+216x%5E4x%5E3y%5E3%29%2F8x%5E7+=+x%2Aroot%284%2C+216x%5E3y%5E3%29%2F8x%5E7


x cancels with x%5E7 to leave x%5E6 on the bottom.


root%284%2C216x%5E3y%5E3%29%2F8x%5E6

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