To simplify the expression \( \frac{t^{400}}{t^{100}} \) using the Quotient Rule of Integer Exponents, you can subtract the exponents:
\[ \frac{t^{400}}{t^{100}} = t^{400 - 100} = t^{300} \]
So the simplified expression is
\[ t^{300} \]
Thus, the correct response is:
t^300