Use the product rule to simplify the expression. Write your answer in exponential notation.
\[
3^{6} \cdot 3^{5}
\]

Answer

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Answer

\(\boxed{3^{11}}\) is the simplified form of the expression in exponential notation.

Steps

Step 1 ：Apply the product rule of exponents which states that for any real numbers a, m, and n, we have: \(a^{m} \cdot a^{n} = a^{m+n}\)

Step 2 ：Substitute the given values into the rule: \(3^{6} \cdot 3^{5} = 3^{6+5}\)

Step 3 ：Simplify the expression: \(3^{11}\)

Step 4 ：\(\boxed{3^{11}}\) is the simplified form of the expression in exponential notation.