Question

simplify to a single power of 3:
$3^6 \cdot 3^5$
answer attempt 1 out of 2
answer: $3^{\square}$ submit answer

Explanation:

Step1: Recall the exponent rule for multiplication

When multiplying two powers with the same base, we add the exponents. The rule is \(a^m \cdot a^n = a^{m + n}\), where \(a\) is the base and \(m\), \(n\) are the exponents. Here, \(a = 3\), \(m = 6\), and \(n = 5\).

Step2: Apply the exponent rule

For \(3^6 \cdot 3^5\), we add the exponents 6 and 5. So, \(6 + 5 = 11\). Thus, \(3^6 \cdot 3^5 = 3^{6 + 5}=3^{11}\).

Answer:

\(3^{11}\)