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100002.7183^{2\times \frac{1}{20}\times 5}
Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.
100002.7183^{\frac{1}{10}\times 5}
Multiply 2 and \frac{1}{20} to get \frac{1}{10}.
100002.7183^{\frac{1}{2}}
Multiply \frac{1}{10} and 5 to get \frac{1}{2}.