Simplify this expression using the Quotient rule of integer Exponets: t^400/t^100

Answer 1

To simplify the expression \( \frac{t^{400}}{t^{100}} \) using the quotient rule of integer exponents, we can use the formula:

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

In this case, \( a = t \), \( m = 400 \), and \( n = 100 \). Applying the formula:

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

Therefore, the simplified expression is:

\[ t^{300} \]