Simplify this expression using the Quotient Rule of Integer Exponents: t400 over t100

Question

options

t^4

t^500

t^300

300
.

Answer 1

To simplify the expression \(\frac{t^{400}}{t^{100}}\) using the Quotient Rule of Integer Exponents, you can use the rule that states:

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

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

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

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

The correct option is: \(t^{300}\).