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

Answer 1

To simplify the expression $t^{400}{t}^{100}$ using the Quotient Rule of Integer Exponents, we can use the property of exponents that states:

$$a^m\cdot a^n=a^{m+n}$$

where $a$ is a base and $m$ and $n$ are the exponents.

In this case, we have:

$$t^{400}{t}^{100}=t^{400+100}=t^{500}$$

So the simplified expression is:

$$t^{500}$$