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2^{2\times 100}
Calculate 10 to the power of 2 and get 100.
2^{200}
Multiply 2 and 100 to get 200.
1606938044258990275541962092341162602522202993782792835301376
Calculate 2 to the power of 200 and get 1606938044258990275541962092341162602522202993782792835301376.