Question
Simplify the following and leave your answer in exponential form. (Example: write 525^25
2
not 252525 ).
3183\frac{3^{18}}{3^{ }}
3
3
18
2
not 252525 ).
3183\frac{3^{18}}{3^{ }}
3
3
18
Answers
Answered by
GPT-4o mini
To simplify the expression \( \frac{3^{18}}{3^3} \), you can use the property of exponents that states:
\[
\frac{a^m}{a^n} = a^{m-n}
\]
In this case:
\[
\frac{3^{18}}{3^3} = 3^{18 - 3} = 3^{15}
\]
So, the simplified form of the expression is:
\[
3^{15}
\]
\[
\frac{a^m}{a^n} = a^{m-n}
\]
In this case:
\[
\frac{3^{18}}{3^3} = 3^{18 - 3} = 3^{15}
\]
So, the simplified form of the expression is:
\[
3^{15}
\]