SOLUTION: {{{2x^(-7/4)/4x^(4/3)}}} supposed to be this, keeps putting my fractional powers in the wrong space: 2x^(-7/4)/4x^(4/3) I have been stuck trying to work this out all day, it says

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: {{{2x^(-7/4)/4x^(4/3)}}} supposed to be this, keeps putting my fractional powers in the wrong space: 2x^(-7/4)/4x^(4/3) I have been stuck trying to work this out all day, it says      Log On


   

Question 594120: 2x%5E%28-7%2F4%29%2F4x%5E%284%2F3%29 supposed to be this, keeps putting my fractional powers in the wrong space: 2x^(-7/4)/4x^(4/3)
I have been stuck trying to work this out all day, it says the answer is:
+x%5E%2811%2F12%29%2F2x%5E4+ or x^(11/12)/2x^4
I can't seem to get it to this, have been trying to use the rule:
+x%5En%2Fx%5En+=+x%5En-n+
or moving the negative exponent down and applying the:
+x%5En%2Ax%5En=+x%5En%2Bn+
But with no success. :( please give me all the steps in the answer, many thanks Jim.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
2x%5E%28-7%2F4%29%2F4x%5E%284%2F3%29 supposed to be this, keeps putting my fractional powers in the wrong space: 2x^(-7/4)/4x^(4/3)
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= x^(-7/4)/2x^(4/3)
Multiply NUM and DEN by x^(7/4)
= 1/2x^(4/3 + 7/4)
= 1/2x^(37/12)
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Multiply NUM and DEN by x^(11/12) to eliminate fractional exponents in the DEN.
= x^(11/2)/2x^4
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I have been stuck trying to work this out all day, it says the answer is:
+x%5E%2811%2F12%29%2F2x%5E4+ or x^(11/12)/2x^4