Simplify this expression using the Quotient Rule of integers Exponents: t400/t100

Answer 1

To simplify the expression \( \frac{t^{400}}{t^{100}} \) using the Quotient Rule of integer exponents, you can apply the rule which states that:

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

In this case, \( a = t \), \( m = 400 \), and \( n = 100 \). Thus,

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

So, the simplified expression is:

\[ t^{300} \]