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\gamma _{e}=\left(1+\frac{1}{20}\right)^{2}-1
Expand \frac{0.1}{2} by multiplying both numerator and the denominator by 10.
\gamma _{e}=\left(\frac{21}{20}\right)^{2}-1
Add 1 and \frac{1}{20} to get \frac{21}{20}.
\gamma _{e}=\frac{441}{400}-1
Calculate \frac{21}{20} to the power of 2 and get \frac{441}{400}.
\gamma _{e}=\frac{41}{400}
Subtract 1 from \frac{441}{400} to get \frac{41}{400}.