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

Answer 1

To simplify the expression \( t^{400} t^{100} \) using the Quotient Rule of Integer Exponents, we can actually use the Product Rule of Exponents, which states that when multiplying two expressions with the same base, you add the exponents:

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

In this case, we have:

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

So, the simplified expression is \( t^{500} \).

The correct response is: \( t^{500} \).