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x=\left(\frac{2}{82\times 100}\right)^{-1}
Calculate 10 to the power of 2 and get 100.
x=\left(\frac{2}{8200}\right)^{-1}
Multiply 82 and 100 to get 8200.
x=\left(\frac{1}{4100}\right)^{-1}
Reduce the fraction \frac{2}{8200} to lowest terms by extracting and canceling out 2.
x=4100
Calculate \frac{1}{4100} to the power of -1 and get 4100.