Question
Simplify to a single power of 3 : \[ 3^{5} \times 3^{4} \]
Ask by Lee Lindsey. in the United States
Mar 11,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The simplified expression is \( 3^{9} \).
Solution
1. Recall the rule for multiplying powers with the same base:
\[
a^m \times a^n = a^{m+n}
\]
2. In this problem, we have \( 3^{5} \times 3^{4} \). Applying the rule:
\[
3^{5} \times 3^{4} = 3^{5+4}
\]
3. Simplify the exponent:
\[
3^{5+4} = 3^{9}
\]
The simplified expression is \( 3^{9} \).
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Extra Insights
To simplify \( 3^{5} \times 3^{4} \), you can use the property of exponents that states when you multiply powers with the same base, you add the exponents. So, you compute: \[ 3^{5} \times 3^{4} = 3^{5+4} = 3^{9}. \] Thus, the simplified expression is \( 3^{9} \).
