Simplify this expression using the Quotient Rule of Integer Exponents: t400/t100

Question

.(1 point)
Responses

300
300

t500
t superscript 500 baseline

t300
t superscript 300 baseline

t4

Answer 1

To simplify the expression \( \frac{t^{400}}{t^{100}} \) using the Quotient Rule of Integer Exponents, we follow this rule:

\[ \frac{a^m}{a^n} = a^{m-n} \]

Applying this rule:

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

Thus, the simplified expression is:

\[ t^{300} \]

So the correct response is:

t300 (t superscript 300 baseline).