SOLUTION: can you please help me with this problem? perform the multiplications. assume that all variable are positive. Y^1/3(Y^2/3 + Y^5/3) can you show me step by step because i

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: can you please help me with this problem? perform the multiplications. assume that all variable are positive. Y^1/3(Y^2/3 + Y^5/3) can you show me step by step because i       Log On


   

Question 119841: can you please help me with this problem?
perform the multiplications. assume that all variable are positive.
Y^1/3(Y^2/3 + Y^5/3)
can you show me step by step because i am trying to understand this and so far
it is not good.
thank you
julie
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Let w=y%5E%281%2F3%29 so the expression goes from y%5E%281%2F3%29%28y%5E%282%2F3%29+%2B+y%5E%285%2F3%29%29 to w%28w%5E2+%2B+w%5E5%29



w%28w%5E2+%2B+w%5E5%29 Start with the given expression



w%5E3%2Bw%5E6 Distribute w among the terms in the parenthesis


%28y%5E%281%2F3%29%29%5E3%2B%28y%5E%281%2F3%29%29%5E6 Replace w with y%5E%281%2F3%29



y%5E%283%2F3%29%2By%5E%286%2F3%29 Multiply the exponents



y%2By%5E2 Reduce



So y%5E%281%2F3%29%28y%5E%282%2F3%29+%2B+y%5E%285%2F3%29%29 simplifies to y%2By%5E2.