Simplify the expression using the quotation rule of integer exponents: t⁴⁰⁰/t¹⁰⁰

Question

t⁴
t⁵⁰⁰
300
t³⁰⁰

Answer 1

To simplify the expression \( \frac{t^{400}}{t^{100}} \) using the quotient rule of integer exponents, we apply the rule which states that \( \frac{a^m}{a^n} = a^{m-n} \).

Here, we have:

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

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

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