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

1 Answer
Dec 26, 2016

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)