Set 3: Exponential Functions

Choice A is correct. Choice A is the correct answer. Use exponent rules. 1. Power rule: $(e^x)^3 = e^{3 x}$. 2. Product rule: $e^{3 x} \cdot e^{2 x} = e^{3 x+2 x} = e^{5 x}$. Strategic Tip: $(a^m)^n = a^{mn}$ and $a^m \cdot a^n = a^{m+n}$. Choice B is incorrect because this incorrectly multiplies exponents. Choice C is incorrect because exponent is $5x$, not $3x^2$. Choice D is incorrect because this mixes up the rules.