Simplify this expression using the Quotient Rule of Integer Exponents: t^400/t^100.(1 point)

Question

Responses

t^4

t^300

t^500

300

Answer 1

To simplify the expression \( \frac{t^{400}}{t^{100}} \) using the Quotient Rule of Integer Exponents, you subtract the exponent in the denominator from the exponent in the numerator.

The Quotient Rule states that:

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

Applying this to your expression:

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

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

The correct response is:

t^300