lenge Simplify each expression. \( 47.3^{x} \cdot 3^{2-x} \cdot 3^{2} \)

To simplify the expression \( 47.3^{x} \cdot 3^{2-x} \cdot 3^{2} \), we can first combine the powers of 3. Recall that \( a^{m} \cdot a^{n} = a^{m+n} \). So, we have: \[ 3^{2-x} \cdot 3^{2} = 3^{(2-x)+2} = 3^{4-x} \] Now, we can rewrite the expression as: \[ 47.3^{x} \cdot 3^{4-x} \] This means our final simplified expression is: \[ 47.3^{x} \cdot 3^{4-x} \]