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y^{\frac{5}{7}}y^{\frac{2}{7}}+y^{\frac{5}{7}}y^{-\frac{5}{7}}
Use the distributive property to multiply y^{\frac{5}{7}} by y^{\frac{2}{7}}+y^{-\frac{5}{7}}.
y^{1}+y^{\frac{5}{7}}y^{-\frac{5}{7}}
To multiply powers of the same base, add their exponents. Add \frac{5}{7} and \frac{2}{7} to get 1.
y^{1}+1
Multiply y^{\frac{5}{7}} and y^{-\frac{5}{7}} to get 1.
y+1
Calculate y to the power of 1 and get y.