mplify this expression using the Quotient Rule of Integer Exponents: t400t100.(1 point) Responses t300 t superscript 300 baseline t4 t superscript 4 baseline t500 t superscript 500 baseline 300 300

Answer 1

To simplify the expression \( t^{400} t^{100} \) using the properties of exponents, we can add the exponents, since the bases are the same.

According to the property of exponents:

\[ a^m \cdot a^n = a^{m+n} \]

Here, we have:

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

So, the simplified expression is:

\[ t^{500} \]