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\left(\frac{1}{2}\times 5^{-2}\right)^{2}
Calculate 2 to the power of -1 and get \frac{1}{2}.
\left(\frac{1}{2}\times \frac{1}{25}\right)^{2}
Calculate 5 to the power of -2 and get \frac{1}{25}.
\left(\frac{1}{50}\right)^{2}
Multiply \frac{1}{2} and \frac{1}{25} to get \frac{1}{50}.
\frac{1}{2500}
Calculate \frac{1}{50} to the power of 2 and get \frac{1}{2500}.