simply this expression using the quotient rule of integer exponents t400 over t100

Answer 1

To simplify the expression \(\frac{t^{400}}{t^{100}}\) using the quotient rule of integer exponents, we apply the rule that states:

\[ \frac{a^m}{a^n} = a^{m-n} \]

For your expression:

\[ \frac{t^{400}}{t^{100}} = t^{400 - 100} = t^{300} \]

So, the simplified expression is:

\[ t^{300} \]