Simplify this expression using the Quotient Rule of Integer Exponents: t400t100.(1 point) Responses t4 t superscript 4 baseline 300 300 t300 t superscript 300 baseline t500

Answer 1

To simplify the expression \( t^{400} t^{100} \) using the Quotient Rule of Integer Exponents, remember that when multiplying terms with the same base, you add the exponents:

\[ t^{a} \cdot t^{b} = t^{a + b} \]

In this case:

\[ t^{400} \cdot t^{100} = t^{400 + 100} = t^{500} \]

So the simplified expression is:

\[ t^{500} \]