Find the numerical equivalent of 3^9⋅3−5

To find the numerical equivalent of \(3^9 \cdot 3^{-5}\), we can use the laws of exponents. Specifically, we use the property that states \(a^m \cdot a^n = a^{m+n}\).

Applying this property, we combine the exponents:

\[ 3^9 \cdot 3^{-5} = 3^{9 + (-5)} = 3^{4} \]

Now we can calculate \(3^4\):

\[ 3^4 = 3 \cdot 3 \cdot 3 \cdot 3 = 81 \]

Thus, the numerical equivalent of \(3^9 \cdot 3^{-5}\) is \(\boxed{81}\).