Simplify this expression using the Quotient Rule of Integer Exponents: t400t100 .(1 point) Responses t300 t superscript 300 baseline 300 300 t4 t superscript 4 baseline t500
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GPT-4o mini
To simplify the expression \( t^{400} \cdot t^{100} \) using the Quotient Rule of Integer Exponents, we apply the property of exponents that states:
\[
a^m \cdot a^n = a^{m+n}
\]
In this case, \( m = 400 \) and \( n = 100 \):
\[
t^{400} \cdot t^{100} = t^{400 + 100} = t^{500}
\]
Therefore, the simplified expression is:
\[
t^{500}
\]
\[
a^m \cdot a^n = a^{m+n}
\]
In this case, \( m = 400 \) and \( n = 100 \):
\[
t^{400} \cdot t^{100} = t^{400 + 100} = t^{500}
\]
Therefore, the simplified expression is:
\[
t^{500}
\]
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