Question

How would I simplify (2e)(4e)(-e^-3) ?

Answer 1

You would use your exponent rules:\[
(2)(4)(-1)e^{(1)+(1)+(-3)}
\]

Answer 2

\[(a^b)(a^c)=a^{b+c}\]

Answer 3

would I multiply the bases? and then add the exponents? or leave it as is?

Answer 4

They all have the same base: \(e\).

Answer 5

The base is merged into one, and the exponents are all added.

Answer 6

Coefficients call all pulled out to the front, due to the commutative property.