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

Answer 1

To simplify the expression \( t^{400} \cdot t^{100} \) using the Quotient Rule of Integer Exponents, you can use the property that states:

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

In this case, \( m = 400 \) and \( n = 100 \). Therefore:

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

Thus, the simplified expression is:

\[ t^{500} \]

So, the correct response is \( t^{500} \).