Question

Simplify this expression using the Quotient Rule of Integer Exponents: t400/t100.(1 point)
Responses

t^300
t superscript 300 baseline

t^500
t superscript 500 baseline

300
300

t^4
t superscript 4 baseline

Answer 1

To simplify the expression \( \frac{t^{400}}{t^{100}} \) using the Quotient Rule of Integer Exponents, we can apply the rule which states that \( \frac{a^m}{a^n} = a^{m-n} \).

So, in this case:

\[
\frac{t^{400}}{t^{100}} = t^{400 - 100} = t^{300}
\]

Therefore, the simplified expression is \( t^{300} \).

The correct response is:

**t^300**