Quotient Rule of Exponents Quick Check 1 of 5

Question

Simplify this expression using
the Quotient Rule of Integer
Exponents: . (1 point)
t
400
t
100
t
4
t
300
t
500
300

Answer 1

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

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

Applying this rule in our case:

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

So, the simplified expression is:

\[ t^{300} \]