Simplify this expression using the quotient rule of integer exponents: t⁴⁰⁰/t¹⁰⁰.

A. t⁵⁰⁰
B. t³⁰⁰
C. t⁴
D. 300

1 answer

The quotient rule states that when dividing two terms with the same base, you subtract the exponents.

In this case, t⁴⁰⁰/t¹⁰⁰ simplifies to t^(400-100) = t^300.

Therefore, the simplified expression is B. t³⁰⁰.