Explanation:

To assess the problem, you need the values of variables $t$ and $q$. Without specific values or equations relating to $t$ and $q$, we can evaluate by considering:

- Option 1: 36

- Factorization: $36=6^2=2^2\times 3^2$

- Option 2: 81

- Factorization: $81=9^2=3^4$

- Option 3: 125

- Factorization: $125=5^3$

- Option 4: 256

- Factorization: $256={16}^2=2^8$

- Correct Answer is Option 4: 256 if $t-8$ and $q$ relate as $2^4\times 2^q$.

- Option 5: 343

- Factorization: $343=7^3$

Since your answer "option:4- 256" fits well if considering an exponentiation scenario, .