SOLUTION: I must decide if the algebraic manipulation is correct or incorrect. if it is incorrect I need to fix it or explaine why it cannot be simplified.I don't know if this is the right s

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Question 161548: I must decide if the algebraic manipulation is correct or incorrect. if it is incorrect I need to fix it or explaine why it cannot be simplified.I don't know if this is the right spot to post but if you can help that would be great.
(4x^2/5y^3)^3=4x^6/5y^9
Found 2 solutions by Alan3354, ankor@dixie-net.com:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
I must decide if the algebraic manipulation is correct or incorrect. if it is incorrect I need to fix it or explaine why it cannot be simplified.I don't know if this is the right spot to post but if you can help that would be great.
(4x^2/5y^3)^3=4x^6/5y^9
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%284x%5E2%2F5y%5E3%29%5E3=4x%5E6%2F5y%5E9
Not correct, the coefficients must also be raised to the 3rd power.
%284x%5E2%2F5y%5E3%29%5E3+=+64x%5E6%2F125y%5E9

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Actually it should be:
%28%284x%5E2%29%2F%285y%5E3%29%29%5E3 = %284%5E3%2Ax%5E6%29%2F%285%5E3%2Ay%5E9%29 = %2864x%5E6%29%2F%28125y%5E9%29