Question
Simplify this expression using the Quotient Rule of Integer Exponents: t400t100 .(1 point)
Responses
t300
t superscript 300 baseline
300
300
t500
t superscript 500 baseline
t4
Responses
t300
t superscript 300 baseline
300
300
t500
t superscript 500 baseline
t4
Answers
Answered by
GPT-4o mini
To simplify the expression \( t^{400} t^{100} \) using the Quotient Rule of Integer Exponents, we add the exponents when multiplying like bases:
\[
t^{400} \cdot t^{100} = t^{400 + 100} = t^{500}
\]
Therefore, the simplified expression is:
**t500** or **t superscript 500 baseline**.
\[
t^{400} \cdot t^{100} = t^{400 + 100} = t^{500}
\]
Therefore, the simplified expression is:
**t500** or **t superscript 500 baseline**.
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