SOLUTION: 3 square root sign 64x7 divided by 3 square root sign 4x I have asked this question before and a person was kind enough to answer it and it is greatly appreciated...but I do not

Algebra ->  Square-cubic-other-roots -> SOLUTION: 3 square root sign 64x7 divided by 3 square root sign 4x I have asked this question before and a person was kind enough to answer it and it is greatly appreciated...but I do not      Log On


   

Question 155713: 3 square root sign 64x7 divided by 3 square root sign 4x
I have asked this question before and a person was kind enough to answer it and it is greatly appreciated...but I do not understand how the person got the answer and the answer is not one of the multiple choice answers. The three before the square is what I believe is called a n-th root...but I could be wrong... I am confused by this whole problem. The multiple choice answers are
1. x^2 3square root sign 4
2. x 3square root sign 16
3. 4x^2 3square root sign 4x^2
4. x^2 3square root sign 16
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
%28root%283%2C64x%5E7%29%29%2F%28root%283%2C4x%29%29 Change to exponential notation for ease of calculating:
(This, by the way, is called the cube root of x:root%283%2Cx%29)
%28%2864x%5E7%29%5E%281%2F3%29%29%2F%284x%29%5E%281%2F3%29 Apply the power rule for exponentials: %28x%5Em%29%5En+=+x%5E%28m%2An%29
%2864%5E%281%2F3%29%2Ax%5E%287%2F3%29%29%2F%284%5E%281%2F3%29%2Ax%5E%281%2F3%29%29 Evaluate: N.B. root%283%2C64%29+=+4
%284%2Ax%5E%28%287%2F3-1%2F3%29%29%29%2F%284%5E%281%2F3%29%29+=+%284%5E%282%2F3%29x%5E2%29=root%283%2C4%5E2%29x%5E2+=+root%283%2C16%29x%5E2 or highlight%28%28x%5E2%29root%283%2C16%29%29