Question

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

t300
t superscript 300 baseline

t4
t superscript 4 baseline

t500
t superscript 500 baseline

300
300

Answer 1

To simplify the expression \( t^{400} \cdot t^{100} \) using the Quotient Rule of Integer Exponents, we apply the product of powers property, which states that when multiplying like bases, we add the exponents:

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

So, the simplified expression is:

**t500** (or \( t^{500} \)).