To simplify the expression \( \frac{t^{400}}{t^{100}} \) using the Quotient Rule of Integer Exponents, we use the rule that states:
\[ \frac{a^m}{a^n} = a^{m-n} \]
In this case, \( m = 400 \) and \( n = 100 \). Therefore, we have:
\[ \frac{t^{400}}{t^{100}} = t^{400-100} = t^{300} \]
Thus, the simplified expression is:
t³00