Simplify this expression using the Quotient Rule of Integer Exponents: t400t100 .(1 point) Responses t500 t superscript 500 baseline 300 300 t300 t superscript 300 baseline t4

Answer 1

To simplify the expression \( t^{400} t^{100} \) using the Quotient Rule of Integer Exponents, we can use the property of exponents that states:

\[ a^m \cdot a^n = a^{m+n} \]

where \( a \) is a base and \( m \) and \( n \) are the exponents.

In this case, we have:

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

So the simplified expression is:

\[ t^{500} \]