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

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

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