Evaluate the given expression using the Order of Operations. \( \left(3^{3}-9 \cdot 2\right)^{2}+1 \) Enter the answer in the space provided. Use numbers instead of words.

To evaluate the expression \( \left(3^{3}-9 \cdot 2\right)^{2}+1 \), we follow the Order of Operations. 1. First, calculate \(3^3\): \(3^3 = 27\). 2. Next, calculate \(9 \cdot 2\): \(9 \cdot 2 = 18\). 3. Now substitute these values into the expression: \( (27 - 18)^2 + 1 \). 4. Simplify inside the parentheses: \( 27 - 18 = 9 \). 5. Now raise 9 to the power of 2: \(9^2 = 81\). 6. Finally, add 1: \(81 + 1 = 82\). Thus, the answer is \(82\).