SOLUTION: Please help me what is? x^-6y^3 divided by -27x^9y^-3/4

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Question 721215: Please help me what is?
x^-6y^3 divided by -27x^9y^-3/4
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E%28-6%29y%5E3%2F%28-27x%5E9y%5E%28-3%2F4%29%29
If you have trouble with expressions like this, it can help to split it up into separate fractions:
%281%2F%28-27%29%29%2A%28x%5E%28-6%29%2Fx%5E9%29%2A%28y%5E3%2Fy%5E%28-3%2F4%29%29
so that the coefficients, the x's and the y's are all in their own fractions. To divide the x's and y's we use the rule for exponents when dividing: Subtract the exponents:
%28-1%2F27%29%2A%28x%5E%28-6-9%29%29%2A%28y%5E%283-%28-3%2F4%29%29%29
%28-1%2F27%29%2A%28x%5E%28-15%29%29%2A%28y%5E%2812%2F4-%28-3%2F4%29%29%29
%28-1%2F27%29%2A%28x%5E%28-15%29%29%2A%28y%5E%2815%2F4%29%29
This could be an acceptable answer. Or we could rewrite the x with a positive exponent:
%28-1%2F27%29%2A%281%2Fx%5E15%29%2A%28y%5E%2815%2F4%29%29
This could be an acceptable answer. Or we could rewrite the y in simplified radical form. (A fractional exponent represents a radical.)
%28-1%2F27%29%2A%281%2Fx%5E15%29%2A%28root%284%2C+y%5E15%29%29
%28-1%2F27%29%2A%281%2Fx%5E15%29%2A%28root%284%2C+y%5E4%2Ay%5E4%2Ay%5E4%2Ay%5E3%29%29

%28-1%2F27%29%2A%281%2Fx%5E15%29%2A%28y%5E3%2Aroot%284%2C+y%5E3%29%29
This could be an acceptable answer. Or we could put everything back together (i.e. multiply it out):
-y%5E3%2Aroot%284%2C+y%5E3%29%2F27x%5E15