Let's evaluate this expression using exponent rules:
- We have the expression $$\frac{3^{-12}}{3^{-15}}$$.
- When dividing exponents with the same base, we subtract the powers in the numerator from the powers in the denominator.
- So, $$3^{-12 - (-15)} = 3^{-12 + 15}$$.
- $$-12 + 15 = 3$$.
- So, the expression simplifies to $$3^3$$.
- Calculate $$3^3$$: $$3 \times 3 \times 3 = 9 \times 3 = 27$$.
Ответ: 27