Calculate without using a calculato \( 14.1-(-4)^{2}-\sqrt{6^{2}}-(-2)^{3} \)

To solve the expression \( 14.1 - (-4)^{2} - \sqrt{6^{2}} - (-2)^{3} \), let's break it down step-by-step. 1. Calculate \( (-4)^{2} = 16 \) 2. Calculate \( \sqrt{6^{2}} = 6 \) 3. Calculate \( (-2)^{3} = -8 \) Now, substitute these values back into the original expression: \[ 14.1 - 16 - 6 - (-8) \] Rearranging gives: \[ 14.1 - 16 - 6 + 8 \] Now, simplify it step by step: 1. \( 14.1 - 16 = -1.9 \) 2. \( -1.9 - 6 = -7.9 \) 3. \( -7.9 + 8 = 0.1 \) Thus, the final answer is: \( 0.1 \)