Question: $$\cdot 1 2 + 6 ^ { 2 } + ( - 3 ) ^ { 4 } - 8 + 9 .$$

Solution

To solve the expression \(12 + 6^2 \cdot (-3)^4 - 8 + 9\), follow these steps: First, calculate the exponents: \[ 6^2 = 36 \] \[ (-3)^4 = 81 \] Substitute these values back into the expression: \[ 12 + 36 \cdot 81 - 8 + 9 \] Next, calculate the multiplication: \[ 36 \cdot 81 = 2916 \] Substitute this value back into the expression: \[ 12 + 2916 - 8 + 9 \] Perform the addition and subtraction from left to right: \[ 12 + 2916 = 2928 \] \[ 2928 - 8 = 2920 \] \[ 2920 + 9 = 2929 \] The final answer is \(2929\).