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100e^{0\times 2t}
Multiply 0 and 0 to get 0.
100e^{0t}
Multiply 0 and 2 to get 0.
100e^{0}
Anything times zero gives zero.
100\times 1
Calculate e to the power of 0 and get 1.
100
Multiply 100 and 1 to get 100.