SOLUTION: can you give me the steps for simplifying this expression? 5((x^8y^100)^3)-6xy((x^5y^7)^3)

Question 238821: can you give me the steps for simplifying this expression?
5((x^8y^100)^3)-6xy((x^5y^7)^3)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
simplifying this expression?
5((x^8y^100)^(1/3))-6xy((x^5y^7)^(1/3))
= 5(x^(8/3)y^(100/3) - 6xy(x^(5/3)y^(7/3))
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= 5x^2y^33(x^(2/3)y^(1/3) - 6x^2y^3(x^(2/3)y^(1/3)
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= x^2(x^(2/3)y^(1/3)[5y^33-6y^3]
===================================
Cheers,
Stan H.
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