Simplify the expression as much as possible. Write your answer in exponent form. 8/5 x^(-6/5) y^(2/5) 7/5 x^(-1/2) y^(2/5) 7/5 x^(-2/10) y^(2/5) 7/5 x^(-6/5) y^(2/5)

To simplify the expression and combine all the terms given, we need to find a common base for all parts:

1. The terms are:

– ( frac{8}{5} x^{-frac{6}{5}} y^{frac{2}{5}} )

– ( frac{7}{5} x^{-frac{1}{2}} y^{frac{2}{5}} )

– ( frac{7}{5} x^{-frac{2}{10}} y^{frac{2}{5}} ) (Note: ( -frac{2}{10} = -frac{1}{5} ))

– ( frac{7}{5} x^{-frac{6}{5}} y^{frac{2}{5}} )

2. Combine like terms with a common coefficient:

– Coefficients: ( frac{8}{5}, frac{7}{5}, frac{7}{5}, frac{7}{5} )

– The total coefficient is ( frac{8 + 7 + 7 + 7}{5} = frac{29}{5} ).

3. For the ( x ) terms:

– The exponent for ( x ) can be combined as follows:

[ -frac{6}{5} + left(-frac{1}{2}right)