Question

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

t300
t superscript 300 baseline

t500
t superscript 500 baseline

t4
t superscript 4 baseline

300

Answer 1

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

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

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

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

Thus, the simplified expression is:

**t³00**