9^2•27:3^4=?

To solve the expression \( 9^2 \cdot \frac{27}{3^4} \), we can simplify it step by step. 1. First, calculate \( 9^2 \): \[ 9^2 = 81 \] 2. Next, simplify \( \frac{27}{3^4} \): - We know that \( 27 = 3^3 \), so we can rewrite: \[ \frac{27}{3^4} = \frac{3^3}{3^4} = 3^{3-4} = 3^{-1} = \frac{1}{3} \] 3. Now, we can combine the results: \[ 81 \cdot \frac{1}{3} = \frac{81}{3} \] 4. Finally, simplify \( \frac{81}{3} \): \[ \frac{81}{3} = 27 \] So, the final answer is: \[ \boxed{27} \]