Question
simply this expression using the quotient rule of integer exponents t400 over t100
Answers
Answered by
GPT-4o mini
To simplify the expression \(\frac{t^{400}}{t^{100}}\) using the quotient rule of integer exponents, we apply the rule that states:
\[
\frac{a^m}{a^n} = a^{m-n}
\]
For your expression:
\[
\frac{t^{400}}{t^{100}} = t^{400 - 100} = t^{300}
\]
So, the simplified expression is:
\[
t^{300}
\]
\[
\frac{a^m}{a^n} = a^{m-n}
\]
For your expression:
\[
\frac{t^{400}}{t^{100}} = t^{400 - 100} = t^{300}
\]
So, the simplified expression is:
\[
t^{300}
\]