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\frac{1}{5}-\frac{\left(-1\right)^{5}}{5}
Calculate 1 to the power of 5 and get 1.
\frac{1}{5}-\frac{-1}{5}
Calculate -1 to the power of 5 and get -1.
\frac{1}{5}-\left(-\frac{1}{5}\right)
Fraction \frac{-1}{5} can be rewritten as -\frac{1}{5} by extracting the negative sign.
\frac{1}{5}+\frac{1}{5}
The opposite of -\frac{1}{5} is \frac{1}{5}.
\frac{1+1}{5}
Since \frac{1}{5} and \frac{1}{5} have the same denominator, add them by adding their numerators.
\frac{2}{5}
Add 1 and 1 to get 2.