Simplify and write the answer with positive exponents only. \( \frac{t^{2}}{t^{7}}=\square \)

To simplify the expression \( \frac{t^{2}}{t^{7}} \) and ensure the result has only positive exponents, follow these steps: 1. **Subtract the Exponents:** When you divide expressions with the same base, you subtract the exponents: \[ \frac{t^{2}}{t^{7}} = t^{2 - 7} = t^{-5} \] 2. **Rewrite with Positive Exponents:** A negative exponent indicates the reciprocal of the base raised to the positive exponent. Thus, \[ t^{-5} = \frac{1}{t^{5}} \] **Final Answer:** \[ \frac{1}{t^{5}} \]