Question
Simplify to a single power of 3 : \[ 3^{6} \times 3 \]
Ask by Burns Valdez. in the United States
Mar 11,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\(3^7\)
Solution
We start by rewriting \(3\) as \(3^1\):
\[
3^6 \times 3 = 3^6 \times 3^1
\]
Using the exponent rule \(a^m \times a^n = a^{m+n}\):
\[
3^6 \times 3^1 = 3^{6+1} = 3^7
\]
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Simplify this solution Mind Expander
To simplify the expression \( 3^{6} \times 3 \), you can use the property of exponents that states when you multiply like bases, you add the exponents. Here, \( 3 \) can be expressed as \( 3^{1} \). Thus, the expression becomes: \[ 3^{6} \times 3^{1} = 3^{6 + 1} = 3^{7} \] So, the simplified form is \( 3^{7} \).
