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4\times 5^{2}=10^{4}
Calculate 2 to the power of 2 and get 4.
4\times 25=10^{4}
Calculate 5 to the power of 2 and get 25.
100=10^{4}
Multiply 4 and 25 to get 100.
100=10000
Calculate 10 to the power of 4 and get 10000.
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Compare 100 and 10000.