Simplify this expression using the Quotient Rule of Integer Exponents: t^400/t^100

Question

.(1 point)
Responses

t^300

t^4

300
300

t^500

Answer 1

Using the Quotient Rule of Integer Exponents, when you divide two expressions with the same base, you subtract the exponents.

The rule states: \[ \frac{a^m}{a^n} = a^{m-n} \]

In this case, you have: \[ \frac{t^{400}}{t^{100}} = t^{400 - 100} = t^{300} \]

So, the simplified expression is: \[ t^{300} \] Therefore, the correct response is t^300.