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)
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)
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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)