SOLUTION: 5y^3(y^5)^2 ___________ 10y^5(y^2)^6

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Question 118657: 5y^3(y^5)^2
___________
10y^5(y^2)^6

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given expression


Multiply the exponents



Multiply


Multiply the monomials by adding the exponents


Add


Now divide the monomials by subtracting the exponents



Subtract


Now reduce to get



Now rewrite as


So simplifies to .


In other words,

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