How do you simplify #e^-2*e^6#?

1 Answer
Jul 13, 2016

Answer:

#e^(-2) * e^(6) = e^4#

Explanation:

We can use the law of exponents to simplify this expression.

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

In this case, we do the same:

#e^(-2) * e^(6) = e^(-2+6) = e^4#

If you like, you can think of #e^(-2)# as #1/e^(2)#.

Alternatively you can write # e^(6) / e^(2) = e^4#