SOLUTION: Simplify the expression. Express your answer so that only positive. (4x^-1y^1/3)^3/2 divided by (xy)^3/2

Question 716671: Simplify the expression. Express your answer so that only positive.
(4x^-1y^1/3)^3/2 divided by (xy)^3/2

Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

Using the rule:

in both the numerator and denominator we get:

Next we'll use the power of a power rule in the numerator:

Next we'll simplify using the rule :

Now our expression is:

Now we'll use the rule to divide the x's and y's:

Subtracting the fractions:

which simplify to:

This is a simplified expression. Assuming that the "only positive" in your post means "using only positive exponents" then we have a little more work to do. Using the rule we get:

which simplifies to:

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