How do you simplify #e^xe^(-3x)e^4#?

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Answer 1 · 2016-12-26T12:26:05

#e^(-2x+4) or e^(4-2x)#

law of indices:

#a^m * a^n = a^(m+n)#

in the same way:

#e^x * e^y = e^(x+y)#, since the base is the same.

#therefore e^x * e^(-3x) * e^4 = e^(x+ -3x+4)#

#=e^(-2x+4) or e^(4-2x)#

How do you simplify #e^x*e^(-3x)*e^4#?