Question

Simplify this expression using the Quotient Rule of Integer Exponents: t400t100.(1 point)
Responses

300
300

t500
t superscript 500 baseline

t300
t superscript 300 baseline

t4
t superscript 4 baseline

Answer 1

To simplify the expression \( t^{400} t^{100} \) using the Quotient Rule of Integer Exponents, we first need to clarify that the expression actually corresponds to the product of exponents, not division. The correct rule to apply here is the Product Rule of Integer Exponents, which states that when you multiply two powers with the same base, you add the exponents.

So, we have:

\[
t^{400} t^{100} = t^{400 + 100} = t^{500}
\]

Therefore, the simplified expression is:

\[
t^{500}
\]

Among the provided responses, the correct one is:

**t superscript 500 baseline**