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

1 Answer
Dec 26, 2016

Answer:

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

Explanation:

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)#