Question
simplify 3^5 . 3^7 show your work
Answers
GPT-4o mini
To simplify \(3^5 \cdot 3^7\), you can use the property of exponents that states when you multiply two numbers with the same base, you add their exponents.
Here’s how it works step-by-step:
\[
3^5 \cdot 3^7 = 3^{5 + 7}
\]
Now, add the exponents:
\[
5 + 7 = 12
\]
So, we have:
\[
3^5 \cdot 3^7 = 3^{12}
\]
Thus, the simplified form is:
\[
\boxed{3^{12}}
\]
Here’s how it works step-by-step:
\[
3^5 \cdot 3^7 = 3^{5 + 7}
\]
Now, add the exponents:
\[
5 + 7 = 12
\]
So, we have:
\[
3^5 \cdot 3^7 = 3^{12}
\]
Thus, the simplified form is:
\[
\boxed{3^{12}}
\]