The question asks, "Which number is equivalent to $\frac{3^4}{3^2}$?"

Let’s solve step by step:

1. Simplify $\frac{3^4}{3^2}$: Using the property of exponents $\frac{a^m}{a^n} = a^{m-n}$, we have: $\frac{3^4}{3^2} = 3^{4-2} = 3^2$

2. Evaluate $3^2$: $3^2 = 9$

Thus, the correct answer is $B. 9$.

Would you like me to explain any step further or provide additional details? Here are five related questions to expand your understanding:

1. What is the general rule for simplifying expressions with exponents in division?
2. How would $\frac{2^6}{2^3}$ be simplified?
3. If the bases are different, can we still use the division rule of exponents?
4. How do we simplify $(3^4)^2$?
5. What happens if the exponent in the denominator is greater than in the numerator (e.g., $\frac{3^2}{3^4}$)?

Tip: Remember that when dividing exponents with the same base, subtract the exponents!