SOLUTION: how would you solve this and what would be your steps? {{{(-8x^2y^2)^2/(4x^3y)^3}}}

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: how would you solve this and what would be your steps? {{{(-8x^2y^2)^2/(4x^3y)^3}}}      Log On


   

Question 23609: how would you solve this and what would be your steps?
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Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
In the numerator multiply all exponents by "2"; in the denominator
multiply all exponents by "3", to get:
[(-8)^2x^4y^4]/[4^3x^9y^3]
=[64x^4y^4]/[64x^9y^3]
=[x^4y^4]/[x^9y^3]
Now subtract exponents for the same letter in such a way
that you maintain positive exponents.
For example x^4/x^9 = 1/x^5
But y^4/y3 = y
So the final answer is y/x^5
Cheers,
Stan H.