\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Simplify the following expressions using the laws of exponents.
  1. \(e^x \cdot e^2 =\)
  2. \(\frac{e^{3x}}{e^x} =\)
  3. \((e^2)^x =\)