|24+2³|*(2+8)²

To solve the expression \(|24 + 2^3| \times (2 + 8)^2\), let's break it down step by step. 1. Calculate \(2^3\): \[ 2^3 = 8 \] 2. Add 24 to \(2^3\): \[ 24 + 8 = 32 \] 3. Take the absolute value: \[ |32| = 32 \] 4. Now calculate \(2 + 8\): \[ 2 + 8 = 10 \] 5. Square the result: \[ (10)^2 = 100 \] 6. Now multiply the absolute value by the squared result: \[ 32 \times 100 = 3200 \] Thus, the final result is: \[ \boxed{3200} \]