To simplify the expression $\frac{t^{12}}{t^6}$, you can apply the rule of exponents which states:

$\frac{a^m}{a^n} = a^{m-n}$

Using this rule:

$\frac{t^{12}}{t^6} = t^{12-6} = t^6$

Thus, the correct answer is $t^6$, which corresponds to option D.

Would you like more details or have any questions?

Here are 5 related questions to explore:

1. How do you simplify an expression with more complex exponents?
2. What is the rule when multiplying terms with the same base?
3. How do you handle negative exponents in simplification?
4. How do fractional exponents work in similar problems?
5. How would this problem change if the bases were different?

Tip: Always ensure to subtract exponents when dividing terms with the same base.