SOLUTION: Hi! I need some step by step guidance on the following: (a^1/2b)^1/2(ab^1/2). I used the power of the product rule and arrived at: ((a^1/4b^1/2)(ab^1/2). I am lost at this point

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Question 978039: Hi! I need some step by step guidance on the following: (a^1/2b)^1/2(ab^1/2). I used the power of the product rule and arrived at: ((a^1/4b^1/2)(ab^1/2). I am lost at this point. The rules are a bit confusing. Please and thank you. :)
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
Trying to figure what you are really starting with, my guess is this:

, and you probably see two associated groupings.

, and the rendering may not display very well.




and now you can use commutative property




Rule for exponents,


That still might be displaying poorly, so in pure text,
a^(3/2)b^(3/4)
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
Hi! I need some step by step guidance on the following: (a^1/2b)^1/2(ab^1/2). I used the power of the product rule and arrived at: ((a^1/4b^1/2)(ab^1/2). I am lost at this point. The rules are a bit confusing. Please and thank you. :)
Continue by multiplying a1/4 by , and b1/2 by b1/2 to get the simplified form:  

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