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

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

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

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