Choice A is the correct answer. Use quotient rule for exponentials.

1. Rule: $\frac{a^m}{a^n} = a^{m-n}$.
2. Apply: $\frac{e^{5x}}{e^{2x}} = e^{5x-2x} = e^{3x}$.

💡 Strategic Tip: When dividing same bases, subtract exponents.

Choice B is incorrect because this adds exponents (multiplication rule). Choice C is incorrect because this multiplies exponents. Choice D is incorrect because$x$ should remain in the exponent.