Simplify this expression using the quotient rule of integer exponents: t⁴⁰⁰/t¹⁰⁰.
A. t⁵⁰⁰
B. t³⁰⁰
C. t⁴
D. 300
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.
To simplify the expression using the quotient rule of integer exponents, we subtract the exponents of t in the denominator from the exponents of t in the numerator.
In this case, t^400 / t^100 = t^(400 - 100) = t^300.
Therefore, the simplified expression is t^300.
So, the correct option is B. t^300.