Question
Simplify to a single power of 3:
start fraction, 3, to the power 8 , divided by, 3, to the power 4 , end fraction
start fraction, 3, to the power 8 , divided by, 3, to the power 4 , end fraction
Answers
GPT-4o mini
To simplify the expression \( \frac{3^8}{3^4} \), you can use the property of exponents that states:
\[
\frac{a^m}{a^n} = a^{m-n}
\]
In this case, we have:
\[
\frac{3^8}{3^4} = 3^{8-4} = 3^4
\]
So the simplified expression is:
\[
3^4
\]
\[
\frac{a^m}{a^n} = a^{m-n}
\]
In this case, we have:
\[
\frac{3^8}{3^4} = 3^{8-4} = 3^4
\]
So the simplified expression is:
\[
3^4
\]