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\left(-e\right)^{2}e^{2}
Multiply -e and -e to get \left(-e\right)^{2}.
e^{2}e^{2}
Calculate -e to the power of 2 and get e^{2}.
e^{4}
To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.