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100^{2.5}\times \frac{1}{1000}=0.1^{-2}
Multiply 2 and 1.25 to get 2.5.
100000\times \frac{1}{1000}=0.1^{-2}
Calculate 100 to the power of 2.5 and get 100000.
100=0.1^{-2}
Multiply 100000 and \frac{1}{1000} to get 100.
100=100
Calculate 0.1 to the power of -2 and get 100.
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Compare 100 and 100.