Quotient Rule of Exponents Quick Check

Question

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

300
300

t^4
t superscript 4 baseline

t^300
t superscript 300 baseline

t^500

Answer 1

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

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

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

The correct response is t^300.