Simplify this expression using the Quotient Rule of Integer Exponents: t to the 400th power/t to the 100th power .(1 point)

Question

Responses

t to the 300th power

t to the 500th power

300

t to the 4th power

Answer 1

To simplify the expression \( \frac{t^{400}}{t^{100}} \) using the Quotient Rule of Integer Exponents, we can apply the rule which states that:

\[ \frac{a^m}{a^n} = a^{m-n} \]

In this case, \( m = 400 \) and \( n = 100 \). Therefore, we can calculate:

\[ \frac{t^{400}}{t^{100}} = t^{400 - 100} = t^{300} \]

So, the simplified expression is \( t^{300} \).

The correct response is:

t to the 300th power