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2e^{2}\times 3e\times 2
Multiply e and e to get e^{2}.
2e^{3}\times 3\times 2
To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.
6e^{3}\times 2
Multiply 2 and 3 to get 6.
12e^{3}
Multiply 6 and 2 to get 12.